CPT Symmetry

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (31 August 2016) | Viewed by 32323

Special Issue Editor


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Guest Editor
Stefan Meyer Institute for Subatomic Physics, Austrian Academy of Science, 1090 Vienna, Austria
Interests: antimatter; CPT symmetry; antihydrogen
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Special Issue Information

Dear Colleagues,

CPT, the product of three individual discrete symmetries, C (charge exchange), P (parity), and T (time reversal), is a cornerstone of the Standard Model (SM) of particle physics. While some of the individual symmetries were found to be violated (the observation of the violation of P and CP symmetry in the weak interaction contributed strongly to the development of the SM), CPT conservation is the consequence of the mathematical properties of the quantum field theories used in the SM, and, thus, has the status of a theorem. Extensions of the SM, such as string theory or quantum gravity, however, do not have the mathematical properties required for the proof of the CPT theorem, thus leaving a window open for possible violations of the CPT symmetry that can be experimentally searched for. A framework where CPT violation is linked to Lorentz invariance violation is the Standard Model Extension, where many tests are being performed.

In this Special Issue we invite contributions of theoretical papers that deal with possible scenarios creating violations of CPT, and experimental papers searching for these violations including violations of Lorentz symmetry which is closely connected to CPT.

Prof. Dr. Eberhard Widmann
Guest Editor

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Keywords

  • CPT
  • Quantum Gravity and decoherence
  • Standard Model Extension
  • Lorentz Violation
  • Precision spectroscopy
  • Antihydrogen
  • Hydrogen
  • Deuterium
  • Positronium
  • Molecules and molecular ions

Published Papers (5 papers)

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Research

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3786 KiB  
Article
The Standard-Model Extension and Gravitational Tests
by Jay D. Tasson
Symmetry 2016, 8(11), 111; https://doi.org/10.3390/sym8110111 - 27 Oct 2016
Cited by 39 | Viewed by 5998
Abstract
The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of symmetry violation. The results of recent gravitational tests performed [...] Read more.
The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of symmetry violation. The results of recent gravitational tests performed within the SME are summarized including analysis of results from the Laser Interferometer Gravitational-Wave Observatory (LIGO), sensitivities achieved in short-range gravity experiments, constraints from cosmic-ray data, and results achieved by studying planetary ephemerids. Some proposals and ongoing efforts will also be considered including gravimeter tests, tests of the Weak Equivalence Principle, and antimatter experiments. Our review of the above topics is augmented by several original extensions of the relevant work. We present new examples of symmetry violation in the SME and use the cosmic-ray analysis to place first-ever constraints on 81 additional operators. Full article
(This article belongs to the Special Issue CPT Symmetry)
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958 KiB  
Article
Weyl, Majorana and Dirac Fields from a Unified Perspective
by Andreas Aste
Symmetry 2016, 8(9), 87; https://doi.org/10.3390/sym8090087 - 30 Aug 2016
Cited by 3 | Viewed by 4583
Abstract
A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which [...] Read more.
A self-contained derivation of the formalism describing Weyl, Majorana and Dirac fields from a unified perspective is given based on a concise description of the representation theory of the proper orthochronous Lorentz group. Lagrangian methods play no role in the present exposition, which covers several fundamental aspects of relativistic field theory, which are commonly not included in introductory courses when treating fermionic fields via the Dirac equation in the first place. Full article
(This article belongs to the Special Issue CPT Symmetry)
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300 KiB  
Article
Broken versus Non-Broken Time Reversal Symmetry: Irreversibility and Response
by Sara Dal Cengio and Lamberto Rondoni
Symmetry 2016, 8(8), 73; https://doi.org/10.3390/sym8080073 - 29 Jul 2016
Cited by 7 | Viewed by 4838
Abstract
We review some approaches to macroscopic irreversibility from reversible microscopic dynamics, introducing the contribution of time dependent perturbations within the framework of recent developments in non-equilibrium statistical physics. We show that situations commonly assumed to violate the time reversal symmetry (presence of magnetic [...] Read more.
We review some approaches to macroscopic irreversibility from reversible microscopic dynamics, introducing the contribution of time dependent perturbations within the framework of recent developments in non-equilibrium statistical physics. We show that situations commonly assumed to violate the time reversal symmetry (presence of magnetic fields, rotating reference frames, and some time dependent perturbations) in reality do not violate this symmetry, and can be treated with standard theories and within standard experimental protocols. Full article
(This article belongs to the Special Issue CPT Symmetry)
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Review

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319 KiB  
Review
CPT Symmetry and Its Violation
by Ralf Lehnert
Symmetry 2016, 8(11), 114; https://doi.org/10.3390/sym8110114 - 28 Oct 2016
Cited by 32 | Viewed by 11159
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue CPT Symmetry)
242 KiB  
Review
Testing Lorentz and CPT Invariance with Neutrinos
by Jorge S. Díaz
Symmetry 2016, 8(10), 105; https://doi.org/10.3390/sym8100105 - 11 Oct 2016
Cited by 14 | Viewed by 4733
Abstract
Neutrino experiments can be considered sensitive tools to test Lorentz and CPT invariance. Taking advantage of the great variety of neutrino experiments, including neutrino oscillations, weak decays, and astrophysical neutrinos, the generic experimental signatures of the breakdown of these fundamental symmetries in the [...] Read more.
Neutrino experiments can be considered sensitive tools to test Lorentz and CPT invariance. Taking advantage of the great variety of neutrino experiments, including neutrino oscillations, weak decays, and astrophysical neutrinos, the generic experimental signatures of the breakdown of these fundamental symmetries in the neutrino sector are presented. Full article
(This article belongs to the Special Issue CPT Symmetry)
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