Large gauge transformations and the strong CP problem

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 69:50-66 (2020)
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Abstract

According to the Standard Model of particle physics, some gauge transformations are physical symmetries. That is, they are mathematical transformations that relate representatives of distinct physical states of affairs. This is at odds with the standard philosophical position according to which gauge transformations are an eliminable redundancy in a gauge theory's representational framework. In this paper I defend the Standard Model's treatment of gauge from an objection due to Richard Healey. If we follow the Standard Model in taking some gauge transformations to be physical symmetries then we face the “strong CP problem”, but if we adopt the standard philosophical position on gauge then the strong CP problem dissolves. Healey offers this as a reason in favor of the standard philosophical view. However, as I argue here, following Healey's recommendation gives a theory that makes bad empirical predictions.

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John Dougherty
Ludwig Maximilians Universität, München

Citations of this work

A Puzzle Concerning Local Symmetries and Their Empirical Significance.Sebastián Murgueitio Ramírez - 2022 - British Journal for the Philosophy of Science 73 (4):1021-1044.
Wait, why gauge?Sébastien Rivat - forthcoming - British Journal for the Philosophy of Science.
The gauge argument: A Noether Reason.Henrique Gomes, Bryan W. Roberts & Jeremy Butterfield - 2022 - In James Read & Nicholas J. Teh, The physics and philosophy of Noether's theorems. Cambridge: Cambridge University Press. pp. 354-377.

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References found in this work

Curie’s Principle and spontaneous symmetry breaking.John Earman - 2004 - International Studies in the Philosophy of Science 18 (2 & 3):173 – 198.
Why be Natural?Jonathan Bain - 2019 - Foundations of Physics 49 (9):898-914.

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