Invalidity of TCP-theorem for infinite-component fields

Oksak, A. I.; Todorov, Ivan

doi:10.1007/bf01645900

Cited by 44 publications

(22 citation statements)

References 8 publications

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“…Also, the presence of an infinite number of particle fields has no effect because each field enters as a finite irreducible representation of the Lorentz group. There are no infinite irreducible representations, for which in particle field theory it is known that CPT violation can occur [45].…”

Section: Discussionmentioning

confidence: 99%

CPT and strings

1991

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Section: Discussionmentioning

confidence: 99%

CPT and strings

1991

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“…However, an investigation of Lorentz-symmetric infinite-spin fields by Abers, Grodsky, and Norton has revealed CPT violation as well as the presence of negative-energy states in these models [48]. Oksak and Todorov have later extended this investigation and constructed infinite-spin fields that violate CPT invariance while maintaining energy positivity [49]. These models underscore the necessity of the finite-spin requirement for CPT symmetry.…”

Section: Cpt Violationmentioning

confidence: 99%

CPT Symmetry and Its Violation

Lehnert

2016

Symmetry

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Abstract:One of the most fundamental symmetries in physics is CPT invariance. This article reviews the conditions under which CPT symmetry holds by recalling two proofs of the CPT theorem: The original Lagrangian-based analysis and the more rigorous one in the context of axiomatic quantum field theory. The presentation of the proofs is followed by a discussion of the major physical implications that arise from CPT symmetry. Motivated by recent theoretical and experimental interest in CPT tests, various approaches to the violation of CPT symmetry are mentioned, and it is briefly discussed how they evade the CPT theorem. An attempt has been made to keep this work self-contained and at a level suitable for a wider readership by excising as many technical aspects as possible.

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“…For it is an almost inescapable consequence of local quantum field theories based on canonized assumptions like Lorentz invariance, the existence of a unique vacuum state and weak local commutativity obeying the 'right' statistics. Some explicit examples of CPT breaking theories have been given, but they are highly contrived and unattractive [36,37].…”

Section: Status Of T and Cpt Invariancementioning

confidence: 99%