On the CPT theorem

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:46-65 (2014)
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Abstract

We provide a careful development and rigorous proof of the CPT theorem within the framework of mainstream quantum field theory. This is in contrast to the usual rigorous proofs in purely axiomatic frameworks, and non-rigorous proof-sketches in the mainstream approach. We construct the CPT transformation for a general field directly, without appealing to the enumerative classification of representations, and in a manner that is clearly related to the requirements of our proof. Our approach applies equally in Minkowski spacetimes of any dimension at least three, and is in principle neutral between classical and quantum field theories: the quantum CPT theorem has a natural classical analogue. The key mathematical tool is that of complexification; this tool is central to the existing axiomatic proofs, but plays no overt role in the usual mainstream approaches to CPT

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Author Profiles

Teruji Thomas
Oxford University
Hilary Greaves
Oxford University

Citations of this work

Reversing the arrow of time.Bryan W. Roberts - 2022 - Cambridge: Cambridge University Press.
Deciphering the algebraic CPT theorem.Noel Swanson - 2019 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 68:106-125.

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References found in this work

Taking particle physics seriously: A critique of the algebraic approach to quantum field theory.David Wallace - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):116-125.
How to take particle physics seriously: A further defence of axiomatic quantum field theory.Doreen Fraser - 2011 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):126-135.

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