Weyling the time away: the non-unitary implementability of quantum field dynamics on curved spacetime

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (2):151-184 (2002)
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Abstract

The simplest case of quantum field theory on curved spacetime—that of the Klein–Gordon field on a globally hyperbolic spacetime—reveals a dilemma: In generic circumstances, either there is no dynamics for this quantum field, or else there is a dynamics that is not unitarily implementable. We do not try to resolve the dilemma here, but endeavour to spell out the consequences of seizing one or the other horn of the dilemma.

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Author Profiles

John Earman
University of Pittsburgh
Laura Ruetsche
University of Michigan, Ann Arbor

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