On the assertion that PCT violation implies Lorentz non-invariance

Dütsch, Michael; Gracia‐Bondía, José M.

doi:10.1016/j.physletb.2012.04.038

Cited by 26 publications

(29 citation statements)

References 30 publications

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“…Generally, the CPT invariance can be broken in extended field theories with either broken [34][35][36][37][38] or conserved Lorentz symmetry [29,30,39]. The noncommutative extensions are of particular interesting 2 Advances in High Energy Physics since the CPT symmetry can be broken in both ways [29][30][31] and has been extensively studied [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

2017

Advances in High Energy Physics

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The publication of this article was funded by SCOAP 3 .Based on recent measurements on the charge-to-mass ratios of proton and antiproton, we study constraints on the parameters of noncommutative phase space. We find that while the limit on the parameter of coordinate noncommutativity is weak, it is very strong on the parameter of momentum noncommutativity, √ ≲ 1 eV. Therefore, the charge-to-mass ratio experiment has a strong sensitivity on the momentum noncommutativity, and enhancement of future experimental achievement can further pin down the momentum noncommutativity.

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Section: Introductionmentioning

confidence: 99%

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

2017

Advances in High Energy Physics

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“…[5]. Its logical consisitency has also been emphasized in [6]. This scheme is based on a non-local interaction vertex and characterized by an infrared-divergent form factor.…”

Section: Introductionmentioning

confidence: 99%

“…This paper is based on different sets of assumptions (see [6] for a detailed discussion of those assumptions). To be more specific, Greenberg assumes a consistent axiomatic (Wightman) formulation of realistic particle theory, although to our knowledge nobody has given a convincing axiomatic formulation of the Standard Model, for example.…”

Section: Introductionmentioning

confidence: 99%

Lorentz-invariant CPT violation

2013

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A Lorentz-invariant CPT violation, which may be termed as long-distance CPT violation in contrast to the familiar short-distance CPT violation, has been recently proposed. This scheme is based on a non-local interaction vertex and characterized by an infrared divergent form factor. We show that the Lorentz covariant T ⋆ -product is consistently defined and the energy-momentum conservation is preserved in perturbation theory if the path integral is suitably defined for this non-local theory, although unitarity is generally lost. It is illustrated that T violation is realized in the decay and formation processes. It is also argued that the equality of masses and decay widths of the particle and anti-particle is preserved if the non-local CPT violation is incorporated either directly or as perturbation by starting with the conventional CPT-even local Lagrangian. However, we also explicitly show that the present non-local scheme can induce the splitting of particle and anti-particle mass eigenvalues if one considers a more general class of Lagrangians.

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“…This model is based on a Lorentz invariant CPT violation mechanism which also breaks C and CP but preserves T [7]. The basic ingredient to evade the CPT theorem [8] in this scheme is that the theory is assumed to be non-local [9,10], although the original scheme of CPT violation with T violation but preserving C and CP does not generate particle-antiparticle mass splitting [9]. It was emphasized in [10] that the Lorentz invariant CPT breaking scheme, which we adopt in the present study, is a very natural logical possibility.…”

Section: Introductionmentioning

confidence: 99%

Neutrino–antineutrino mass splitting in the Standard Model and baryogenesis

Fujikawa

Tureanu

2015

Physics Letters B

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On the basis of a previously proposed mechanism of neutrino-antineutrino mass splitting in the Standard Model, which is Lorentz and SU(2) × U (1) invariant but non-local to evade the CPT theorem, we discuss the possible implications of neutrino-antineutrino mass splitting on neutrino physics and baryogenesis. It is shown that non-locality within a distance scale of the Planck length, that may not be fatal to unitarity in a generic effective theory, can generate the neutrino-antineutrino mass splitting of the order of the observed neutrino mass differences, which is tested in oscillation experiments, and a nonnegligible baryon asymmetry depending on the estimate of sphaleron dynamics. The one-loop order induced electron-positron mass splitting in the Standard Model is shown to be finite and estimated at ∼10 −20 eV, well below the experimental bound <10 −2 eV. The induced CPT violation in the K -meson in the Standard Model is expected to be even smaller and well below the experimental bound |m K − mK | < 0.44 × 10 −18 GeV.

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On the assertion that PCT violation implies Lorentz non-invariance

Cited by 26 publications

References 30 publications

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

Lorentz-invariant CPT violation

Neutrino–antineutrino mass splitting in the Standard Model and baryogenesis

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