Results for 'Yang-Mills theory'

972 found
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  1. Fiber bundles, YangMills theory, and general relativity.James Owen Weatherall - 2016 - Synthese 193 (8).
    I articulate and discuss a geometrical interpretation of YangMills theory. Analogies and disanalogies between YangMills theory and general relativity are also considered.
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  2.  29
    A Non-Geometrodynamic Quantum YangMills Theory of Gravity Based on the Homogeneous Lorentz Group.Ahmad Borzou - 2021 - Foundations of Physics 51 (1):1-34.
    In this paper, we present a non-geometrodynamic quantum YangMills theory of gravity based on the homogeneous Lorentz group within the general framework of the Poincare gauge theories. The obstacles of this treatment are that first, on the one hand, the gauge group that is available for this purpose is non-compact. On the other hand, YangMills theories with non-compact groups are rarely healthy, and only a few instances exist in the literature. Second, it is not clear (...)
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  3. Why Yang-Mills theories?Alexandre Guay - 2006
    The elucidation of the gauge principle ``is the most pressing problem in current philosophy of physics" Redhead. This paper argues two points that contribute to this elucidation in the context of Yang-Mills theories. 1) Yang-Mills theories, including quantum electrodynamics, form a class. They should be interpreted together. To focus on electrodynamics is a mistake. 2) The essential role of gauge and BRST surplus is to provide a local theory that can be quantized and would be (...)
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  4. Geometric foundations of classical yangmills theory.Gabriel Catren - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):511-531.
    We analyze the geometric foundations of classical Yang-Mills theory by studying the relationships between internal relativity, locality, global/local invariance, and background independence. We argue that internal relativity and background independence are the two independent defining principles of Yang-Mills theory. We show that local gauge invariance -heuristically implemented by means of the gauge argument- is a direct consequence of internal relativity. Finally, we analyze the conceptual meaning of BRST symmetry in terms of the invariance of (...)
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  5. Conceptual Foundations of YangMills Theories. [REVIEW]Alexandre Guay - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):687-693.
    Essay review of Gauging What’s Real: The Conceptual Foundations of Contemporary Gauge Theories R. Healey. Oxford University Press (2007). To be published in the Studies in History and Philosophy of Modern Physics, 39(3):687-693, 2008.
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  6.  67
    A Comment on the Light-Cone Vacuum in 1+1 Dimensional Super-YangMills Theory.F. Antonuccio, S. Pinsky & S. Tsujimaru - 2000 - Foundations of Physics 30 (3):475-486.
    The discrete light-cone quantization (DLCQ) of a supersymmetric gauge theory in 1+1 dimensions is discussed, with particular attention given to the inclusion of the gauge zero mode. Interestingly, the notorious “zero-mode” problem is now tractable because of special supersymmetric cancellations. In particular, we show that anomalous zero-mode contributions to the currents are absent, in contrast to what is observed in the nonsupersymmetric case. An analysis of the vacuum structure is provided by deriving the effective quantum mechanical Hamiltonian of the (...)
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  7.  94
    Mathematical developments in the rise of YangMills gauge theories.Adam Koberinski - 2019 - Synthese (Suppl 16):1-31.
    In this paper I detail three major mathematical developments that led to the emergence of YangMills theories as the foundation for the standard model of particle physics. In less than 10 years, work on renormalizability, the renormalization group, and lattice quantum field theory highlighted the utility of YangMills type models of quantum field theory by connecting poorly understood candidate dynamical models to emerging experimental results. I use this historical case study to provide lessons for (...)
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  8. Permanent Underdetermination from Approximate Empirical Equivalence in Field Theory: Massless and Massive Scalar Gravity, Neutrino, Electromagnetic, YangMills and Gravitational Theories.J. Brian Pitts - 2010 - British Journal for the Philosophy of Science 62 (2):259-299.
    Classical and quantum field theory provide not only realistic examples of extant notions of empirical equivalence, but also new notions of empirical equivalence, both modal and occurrent. A simple but modern gravitational case goes back to the 1890s, but there has been apparently total neglect of the simplest relativistic analog, with the result that an erroneous claim has taken root that Special Relativity could not have accommodated gravity even if there were no bending of light. The fairly recent acceptance (...)
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  9.  49
    Physical Reality as the Necessary Consequence of Mathematical Structure: Proof of a "Mass Gap" in Yang-Mills Gauge Theory on Euclidean R4.Alexander Yiannopoulos - manuscript
    The Yang-Mills mass gap problem has stood as one of the most profound unresolved questions in theoretical physics for nearly half a century. Despite extensive efforts, a rigorous mathematical proof of the mass gap's existence in Yang-Mills theory has remained elusive—until now. -/- The proof presented in this work represents not merely a technical achievement, but a fundamental paradigm shift in our understanding of the mathematical structures underlying physical reality. By rigorously demonstrating that the mass (...)
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  10.  44
    Exact magnetic monopole solutions in Yang-Mills and unified gauge theories.J. P. Hsu - 1977 - Foundations of Physics 7 (11-12):801-812.
    We study the magnetic monopoles in non-Abelian gauge theories. The exact static, spherically symmetric solutions of the magnetic monopoles in both Yang-Mills and unified gauge theories are obtained. The energyE of the static system is calculable and it is either zero or infinite. The existence of the magnetic monopole solution is a consequence of symmetry rather than dynamics. We propose a new definition of the electromagnetic field tensor, which relates the static solution of gauge fields and the magnetic (...)
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  11.  75
    Geometrization in the Yang-Mills, extended supergravity, and Klein-Kaluza versions.Yuval Ne'eman - 1984 - Foundations of Physics 14 (12):1253-1253.
    We relate personal encounters of three kinds with geometrical approaches in the development of a relativistic quantum field theory of the fundamental interactions—including interactions with Nathan Rosen. We characterize the geometrical structures involved and discuss the more recent attempts to develop a unified theory based on a Klein-Kaluza contraction of the eightfold extended supergravity.
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  12. A partial elucidation of the gauge principle.Alexandre Guay - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):346-363.
    The elucidation of the gauge principle ‘‘is the most pressing problem in current philosophy of physics’’ said Michael Redhead in 2003. This paper argues for two points that contribute to this elucidation in the context of YangMills theories. (1) YangMills theories, including quantum electrodynamics, form a class. They should be interpreted together. To focus on electrodynamics is potentially misleading. (2) The essential role of gauge and BRST symmetries is to provide a local field theory that (...)
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  13. Quantum Field Theory in a Nutshell.A. Zee - 2010 - Princeton University Press.
    Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. -/- This expanded edition features several additional chapters, as (...)
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  14.  70
    Sameness and Separability in Gauge Theories.John Dougherty - 2016 - Philosophy of Science 84 (5):1189-1201.
    In the philosophical literature on Yang-Mills theories, field formulations are taken to have more structure and to be local, while curve-based formulations are taken to have less structure and to be nonlocal. I formalize the notion of locality at issue and show that theories with less structure are nonlocal. However, the amount of structure had by some formulation is independent of whether it uses fields or curves. The relevant difference in structure is not a difference in set-theoretic structure. (...)
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  15.  20
    QCD Effects in Non-QCD Theories.Vladimir Dzhunushaliev & Vladimir Folomeev - 2022 - Foundations of Physics 52 (6):1-15.
    It is shown that, in some non-QCD theories, there are effects shared by QCD: (i) in SU(2) YangMills theory containing a nonlinear spinor field, there is a mass gap; (ii) in SU(3) Proca–Higgs theory, there are flux tube solutions with a longitudinal electric field required for producing a force binding quarks; (iii) in non-Abelian Proca–Higgs theories, there exist flux tube solutions with a momentum directed along the tube axis and particlelike solutions with a nonvanishing total angular (...)
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  16.  59
    Theory construction in high-energy particle physics.Adam Koberinski - 2019 - Dissertation, University of Western Ontario
    Science is a process, through which theoretical frameworks are developed, new phenomena defined and discovered, and properties of entities tested. The goal of this dissertation is to illustrate how high-energy physics exemplified the process of theory construction from the 1950s to 1970s, and the promising ways in which it can continue to do so today. The lessons learned from the case studies examined here can inform future physics, and may provide methodological clues as to the best way forward today. (...)
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  17. Categories and the Foundations of Classical Field Theories.James Owen Weatherall - 2017 - In Elaine M. Landry, Categories for the Working Philosopher. Oxford, England: Oxford University Press.
    I review some recent work on applications of category theory to questions concerning theoretical structure and theoretical equivalence of classical field theories, including Newtonian gravitation, general relativity, and Yang-Mills theories.
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  18. Holism as the empirical significance of symmetries.Henrique Gomes - 2021 - European Journal for Philosophy of Science 11 (3):1-41.
    Not all symmetries are on a par. For instance, within Newtonian mechanics, we seem to have a good grasp on the empirical significance of boosts, by applying it to subsystems. This is exemplified by the thought experiment known as Galileo’s ship: the inertial state of motion of a ship is immaterial to how events unfold in the cabin, but is registered in the values of relational quantities such as the distance and velocity of the ship relative to the shore. But (...)
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  19.  60
    A Note on Rovelli’s ‘Why Gauge?’.Nicholas J. Teh - 2015 - European Journal for Philosophy of Science 5 (3):339-348.
    Rovelli’s “Why Gauge?” offers a parable to show that gauge-dependent quantities have a modal and relational physical significance. We subject the morals of this parable to philosophical scrutiny and argue that, while Rovelli’s main point stands, there are important disanalogies between his parable and Yang-Mills type gauge theory.
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  20.  59
    The Schrödinger equation in quantum field theory.Jamal Nazrul Islam - 1994 - Foundations of Physics 24 (5):593-630.
    Some aspects of the Schrödinger equation in quantum field theory are considered in this article. The emphasis is on the Schrödinger functional equation for Yang-Mills theory, arising mainly out of Feynman's work on (2+1)-dimensional Yang-Mills theory, which he studied with a view to explaining the confinement of gluons. The author extended Feynman's work in two earlier papers, and the present article is partly a review of Feynman's and the author's work and some further (...)
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  21.  20
    An application of functional equations to the analysis of the invariance identities of classical gauge field theory.David Stapleton - 1991 - Foundations of Physics 21 (8):905-929.
    The equations of motion for a particle in a classical gauge field are derived from the invariance identities 2 and basic assumptions about the Lagrangian. They are found to be consistent with the equations of some other approaches to classical gauge-field theory, and are expressed in terms of a set of undetermined functions Eα. The functions Eα are found to satisfy a system of differential equations which has the same formal structure as a system of equations from Yang- (...) theory. 3 These results are obtained by a new method which applies techniques from the theory of functional equations to deduce the way in which the arguments of the Lagrangian must combine. The method constitutes an aid for obtaining the equations of motion when a non-gauge-invariant Lagrangian is chosen, and it is assumed that the equations of motion can be written in a gauge-invariant manner. (shrink)
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  22. On Representational Redundancy, Surplus Structure, and the Hole Argument.Clara Bradley & James Owen Weatherall - 2020 - Foundations of Physics 50 (4):270-293.
    We address a recent proposal concerning ‘surplus structure’ due to Nguyen et al.. We argue that the sense of ‘surplus structure’ captured by their formal criterion is importantly different from—and in a sense, opposite to—another sense of ‘surplus structure’ used by philosophers. We argue that minimizing structure in one sense is generally incompatible with minimizing structure in the other sense. We then show how these distinctions bear on Nguyen et al.’s arguments about Yang-Mills theory and on the (...)
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  23.  21
    Gauge theory of fermions onR × S 3 spacetime.Marina -Aura Dariescu, C. Dariescu & I. Gottlieb - 1995 - Foundations of Physics 25 (6):959-963.
    A Lorentz-invariant gauge theory for massive fermions on R × S 3 spacetime is built up. Using the symmetry of S 3,we obtain Dirac-type equation and derive the expression of the fermionic propagator. Finally, starting from the SU(N) gauge-invariant Lagrangian, we obtain the set of Dirac-Yang-Mills equations on R × S 3 spacetime, pointing out major differences from the Minkowskian case.
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  24.  38
    SU(2) ×U(1) Gauge theory of bosonic and fermionic fields inS 3 ×R space-time.Ciprian Dariescu & Marina -Aura Dariescu - 1994 - Foundations of Physics 24 (11):1577-1582.
    The tetradic Lorentz-gauge invariant formulation of the SU(2) × U(1) theory in S3 × R space-time is presented and the general gauge covariant Dirac-Klein-Gordon-Maxwell-Yang-Mills equations are derived. A direct comparison of these equations to those of the SU(2) × U(1) gauge theory on Minkowskian background points out major differences effectively induced by the minimally coupling to S3 × R gravity.
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  25. Conference on the Foundations of Quantum Mechanics.Robert G. Flower - unknown
    Enormous and significant progress has been made in the important areas of entanglement, quantum computing and harnessing energy from the vacuum, which includes a sound theoretical basis, using the Einstein-Sachs theories to develop an anti-symmetric general relativity (AGR) approach to a higher topology O(3) electrodynamics. These developments also lead to the application of the Aharonov-Bohm effect and the Yang-Mills theory to the higher topology O(3) electrodynamics, as well as a deeper understanding and appreciation of these effects and (...)
     
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  26.  81
    Hamiltonian Map to Conformal Modification of Spacetime Metric: Kaluza-Klein and TeVeS. [REVIEW]Lawrence Horwitz, Avi Gershon & Marcelo Schiffer - 2011 - Foundations of Physics 41 (1):141-157.
    It has been shown that the orbits of motion for a wide class of non-relativistic Hamiltonian systems can be described as geodesic flows on a manifold and an associated dual by means of a conformal map. This method can be applied to a four dimensional manifold of orbits in spacetime associated with a relativistic system. We show that a relativistic Hamiltonian which generates Einstein geodesics, with the addition of a world scalar field, can be put into correspondence in this way (...)
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  27.  33
    Some Remarks on Rovelli's "Why Gauge?".Nicholas Teh - unknown
    Rovelli's "Why Gauge?" offers a parable to show that gauge-dependent quantities have a modal and relational physical significance. We subject the morals of this parable to philosophical scrutiny and argue that, while his overarching point stands, there are subtle disanalogies between his parable and our best gauge theories, e.g. Yang-Mills theory and General Relativity.
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  28. Understanding Gauge.James Owen Weatherall - 2015 - Philosophy of Science 83 (5):1039-1049.
    I consider two usages of the expression "gauge theory". On one, a gauge theory is a theory with excess structure; on the other, a gauge theory is any theory appropriately related to classical electromagnetism. I make precise one sense in which one formulation of electromagnetism, the paradigmatic gauge theory on both usages, may be understood to have excess structure, and then argue that gauge theories on the second usage, including Yang-Mills theory (...)
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  29.  33
    What Are Observables in Hamiltonian Einstein–Maxwell Theory?James Pitts - 2019 - Foundations of Physics 49 (8):786-796.
    Is change missing in Hamiltonian Einstein–Maxwell theory? Given the most common definition of observables, observables are constants of the motion and nonlocal. Unfortunately this definition also implies that the observables for massive electromagnetism with gauge freedom are inequivalent to those of massive electromagnetism without gauge freedom. The alternative Pons–Salisbury–Sundermeyer definition of observables, aiming for Hamiltonian–Lagrangian equivalence, uses the gauge generator G, a tuned sum of first-class constraints, rather than each first-class constraint separately, and implies equivalent observables for equivalent massive (...)
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  30. Hilbert Mathematics Versus Gödel Mathematics. IV. The New Approach of Hilbert Mathematics Easily Resolving the Most Difficult Problems of Gödel Mathematics.Vasil Penchev - 2023 - Philosophy of Science eJournal (Elsevier: SSRN) 16 (75):1-52.
    The paper continues the consideration of Hilbert mathematics to mathematics itself as an additional “dimension” allowing for the most difficult and fundamental problems to be attacked in a new general and universal way shareable between all of them. That dimension consists in the parameter of the “distance between finiteness and infinity”, particularly able to interpret standard mathematics as a particular case, the basis of which are arithmetic, set theory and propositional logic: that is as a special “flat” case of (...)
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  31.  89
    A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold.Sarita Rosenstock & James Owen Weatherall - 2016 - Journal of Mathematical Physics 57:102902.
    A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys. 30, ], establishes that given a "generalized" holonomy map from the space of piece-wise smooth, closed curves based at some point of a manifold to a Lie group, there exists a principal bundle with that group as structure group and a principal connection on that bundle such (...)
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  32.  81
    Dual superconductivity. Variations on a theme.Alex Kovner - 1997 - Foundations of Physics 27 (1):101-111.
    Its is pointed out that the low-energy effective theory that describes the low-lying glueballs of the pure Yang-Mills theory sustains static classical stringlike solutions. We suggest that these objects can be identified with the QCD flux tubes and their energy per unit length with the string tension.
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  33.  88
    Tracking down gauge: An ode to the constrained Hamiltonian formalism.John Earman - 2002 - In Katherine Brading & Elena Castellani, Symmetries in Physics: Philosophical Reflections. New York: Cambridge University Press. pp. 140--62.
    Like moths attracted to a bright light, philosophers are drawn to glitz. So in discussing the notions of ‘gauge’, ‘gauge freedom’, and ‘gauge theories’, they have tended to focus on examples such as YangMills theories and on the mathematical apparatus of fibre bundles. But while YangMills theories are crucial to modern elementary particle physics, they are only a special case of a much broader class of gauge theories. And while the fibre bundle apparatus turned out, in (...)
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  34.  41
    Field theory onR×S 3 topology. V:SU 2 gauge theory[REVIEW]M. Carmeli & S. Malin - 1987 - Foundations of Physics 17 (2):193-200.
    A gauge theory on R×S 3 topology is developed. It is a generalization to the previously obtained field theory on R×S 3 topology and in which equations of motion were obtained for a scalar particle, a spin one-half particle, the electromagnetic field of magnetic moments, and a Shrödinger-type equation, as compared to ordinary field equations defined on a Minkowskian manifold. The new gauge field equations are presented and compared to the ordinary Yang-Mills field equations, and the (...)
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  35.  34
    Progress in metric-affine gauge theories of gravity with local scale invariance.Friedrich W. Hehl, J. Dermott McCrea, Eckehard W. Mielke & Yuval Ne'eman - 1989 - Foundations of Physics 19 (9):1075-1100.
    Einstein's general relativity theory describes very well the gravitational phenomena in themacroscopic world. In themicroscopic domain of elementary particles, however, it does not exhibit gauge invariance or approximate Bjorken type scaling, properties which are believed to be indispensible for arenormalizable field theory. We argue that thelocal extension of space-time symmetries, such as of Lorentz and scale invariance, provides the clue for improvement. Eventually, this leads to aGL(4, R)-gauge approach to gravity in which the metric and the affine connection (...)
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  36.  36
    New avenues in supersymmetry and supergravity.J. G. Taylor - 1983 - Foundations of Physics 13 (3):395-407.
    We analyze the problem of constructing supersymmetric versions of gauge theories of particles and of gravity which have a closed supersymmetric algebra. Inparticular we present the basic no-go theorems that indicate that in four dimensions it is not possible to construct suitably extended supersymmetric versions of the above theories without drastic modification of the supersymmetric algebra. Two ways past the“N=3” barrier are discussed; that of central charges involved highly constrained versions which appearn difficult to quantize effectively, while the use of (...)
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  37.  65
    I ain’t afraid of no ghost.John Dougherty - 2021 - Studies in History and Philosophy of Science Part A 88 (C):70-84.
    This paper criticizes the traditional philosophical account of the quantization of gauge theories and offers an alternative. On the received view, gauge theories resist quantization because they feature distinct mathematical representatives of the same physical state of affairs. This resistance is overcome by a sequence of ad hoc modifications, justified in part by reference to semiclassical electrodynamics. Among other things, these modifications introduce "ghosts": particles with unphysical properties which do not appear in asymptotic states and which are said to be (...)
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  38. The arbitrariness of local gauge symmetry.Alexandre Guay - 2004
    This paper shows how the study of surpluses of structure is an interesting philosophical task. In particular I explore how local gauge symmetry in quantized Yang-Mills theories is the by-product of the specific dynamical structure of interaction. It is shown how in non relativistic quantum mechanics gauge symmetry corresponds to the freedom to locally define global features of gauge potentials. Also discussed is how in quantum field theory local gauge symmetry is replaced by BRST symmetry. This last (...)
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  39.  60
    Supersymmetric Duality in Deformed Superloop Space.Mir Faizal & Tsou Sheung Tsun - 2015 - Foundations of Physics 45 (11):1421-1432.
    In this paper, we will analyse the superloop space formalism for a four dimensional supersymmetric YangMills theory in deformed superspace. We will deform the \ superspace by imposing imposing non-anticommutativity. This non-anticommutative deformation of the superspace will break half the supersymmetry of the original theory. So, this theory will have \ supersymmetry. We will analyse the superloop space duality for this deformed supersymmetric YangMills theory using the \ superspace formalism. We will demonstrate (...)
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  40.  36
    (1 other version)Hermann Weyl's Raum‐Zeit‐Materie and a General Introduction to His Scientific Work. [REVIEW]David Rowe - 2002 - Isis 93:326-327.
    In the range of his intellectual interests and the profundity of his mathematical thought Hermann Weyl towered above his contemporaries, many of whom viewed him with awe. This volume, the most ambitious study to date of Weyl's singular contributions to mathematics, physics, and philosophy, looks at the man and his work from a variety of perspectives, though its gaze remains fairly steadily fixed on Weyl the geometer and space‐time theorist. Structurally, the book falls into two parts, described in the general (...)
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  41.  52
    A geometric foundation for a unified field theory.Nathan Rosen & Gerald E. Tauber - 1984 - Foundations of Physics 14 (2):171-186.
    Generalizing the work of Einstein and Mayer, it is assumed that at each point of space-time there exists an N-dimensional linear vector space with N≥5. This space is decomposed into a four-dimensional tangent space and an (N - 4)-dimensional internal space. On the basis of geometric considerations, one arrives at a number of fields, the field equations being derived from a variational principle. Among the fields obtained there are the electromagnetic field, Yang-Mills gauge fields, and fields that can (...)
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  42.  12
    sQFT: An Autonomous Explanation of the Interactions of Quantum Particles.K. -H. Rehren, L. T. Cardoso, C. Gass, J. M. Gracia-Bondía, B. Schroer & J. C. Várilly - 2024 - Foundations of Physics 54 (4):1-25.
    Successful applications of a conceptually novel setup of Quantum Field Theory, that accounts for all subtheories of the Standard Model (QED, Electroweak Interaction and Higgs, YangMills and QCD) and beyond (Helicity 2), call for a perspective view in a broader conceptual context. The setting is “autonomous” in the sense of being intrinsically quantum. Its principles are: Hilbert space, Poincaré symmetry and causality. Its free quantum fields are obtained from Wigner’s unitary representations of the Poincaré group, with only (...)
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  43.  23
    First-Class Constraints, Gauge Transformations, de-Ockhamization, and Triviality: Replies to Critics, Or, How (Not) to Get a Gauge Transformation from a Second-Class Primary Constraint.J. Brian Pitts - unknown
    Recently two pairs of authors have aimed to vindicate the longstanding "orthodox" or conventional claim that a first-class constraint generates a gauge transformation in typical gauge theories such as electromagnetism, Yang-Mills and General Relativity, in response to the Lagrangian-equivalent reforming tradition, in particular Pitts, _Annals of Physics_ 2014. Both pairs emphasize the coherence of the extended Hamiltonian formalism against what they take to be core ideas in Pitts 2014, but both overlook Pitts 2014's sensitivity to ways that one (...)
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  44. The Elusive Higgs Mechanism.Chris Smeenk - 2006 - Philosophy of Science 73 (5):487-499.
    The Higgs mechanism is an essential but elusive component of the Standard Model of particle physics. Without it YangMills gauge theories would have been little more than a warm‐up exercise in the attempt to quantize gravity rather than serving as the basis for the Standard Model. This article focuses on two problems related to the Higgs mechanism clearly posed in Earman’s recent papers (Earman 2003, 2004a, 2004b): what is the gauge‐invariant content of the Higgs mechanism, and what does (...)
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  45. Gauge invariant accounts of the Higgs mechanism.Ward Struyve - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (4):226-236.
    The Higgs mechanism gives mass to Yang-Mills gauge bosons. According to the conventional wisdom, this happens through the spontaneous breaking of gauge symmetry. Yet, gauge symmetries merely reflect a redundancy in the state description and therefore the spontaneous breaking can not be an essential ingredient. Indeed, as already shown by Higgs and Kibble, the mechanism can be explained in terms of gauge invariant variables, without invoking spontaneous symmetry breaking. In this paper, we present a general discussion of such (...)
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  46.  18
    Roger Penrose: Collected Works: Volume 3: 1976-1980.Roger Penrose - 2010 - Oxford University Press.
    Professor Sir Roger Penrose's work, spanning fifty years of science, with over five thousand pages and more than three hundred papers, has been collected together for the first time and arranged chronologically over six volumes, each with an introduction from the author. Where relevant, individual papers also come with specific introductions or notes. Many important realizations concerning twistor theory occurred during the short period of this third volume, providing a new perspective on the way that mathematical features of the (...)
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  47.  71
    Guest Editor’s Introduction: An Overview of the Epistemological Perspectives on the Higgs Mechanism.Koray Karaca - 2014 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 45 (2):329-333.
    The present special section brings together three articles that seek to elucidate the epistemological and ontological foundations of the Higgs mechanism, as well as the epistemic dynamics of the development of the models beyond the “standard model” of elementary particle physics.The standard model of elementary particle physics consists of two gauge theories; namely, the electroweak theory of the weak and electromagnetic interactions, and the theory of quantum chromo-dynamics which describes the strong interaction. This introduction will provide a brief (...)
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  48.  69
    Relativistic Action at a Distance and Fields.Domingo J. Louis-Martinez - 2012 - Foundations of Physics 42 (2):215-223.
    After a brief review of the field formulations and the relativistic non-instantaneous action-at-a-distance formulations of some well known classical theories, we study Rivacoba’s generalization of a theory with a linearly rising potential as a relativistic non-instantaneous action-at-a-distance theory. For this case we construct the corresponding field theory, which turns out to coincide with a model proposed by Kiskis to describe strong interactions. We construct the action functional for this field theory. Although this model belongs to the (...)
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  49. “Ideal Theory” as Ideology.Charles W. Mills - 2005 - Hypatia 20 (3):165-184.
  50.  87
    The Nonlinear Essence of Gravitational Waves.R. Aldrovandi, J. G. Pereira & K. H. Vu - 2007 - Foundations of Physics 37 (10):1503-1517.
    A critical review of gravitational wave theory is made. It is pointed out that the usual linear approach to the gravitational wave theory is neither conceptually consistent nor mathematically justified. Relying upon that analysis it is argued that—analogously to a Yang-Mills propagating field, which must be nonlinear to carry its gauge charge—a gravitational wave must necessarily be nonlinear to transport its own charge—that is, energy-momentum.
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