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A short review is given of some theoretical approaches to CPT violation. A potentially realistic possibility is that small apparent breaking of CPT and Lorentz symmetry could arise at the level of the standard model from spontaneous…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 J. Alfaro , A. A. Andrianov , M. Cambiaso , P. Giacconi , R. Soldati

General features of generation of the cosmological charge asymmetry in CPT non-invariant world are discussed. If the effects of CPT violation manifest themselves only in mass differences of particles and antiparticles, the baryon asymmetry…

High Energy Physics - Phenomenology · Physics 2010-04-30 A. D. Dolgov

Minuscule violations of CPT and Lorentz invariance might arise in an extension of the standard model as suppressed effects from a more fundamental theory. In this contribution to the CarruthersFest, I present and answer some questions about…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We study remaining Lorentz symmetry, i.e. Lorentz transformations which leave the noncommutativity parameter $\theta^{\mu\nu}$ invariant, within the approach of time-ordered perturbation theory (TOPT) to space-time noncommutative theories.…

High Energy Physics - Theory · Physics 2009-11-10 Tobias Reichenbach

The behavior of fermions in the presence of Lorentz and CPT violation is studied. Allowing for operators of any mass dimension, we classify all Lorentz-violating terms in the quadratic Lagrange density for free fermions. The result is…

High Energy Physics - Phenomenology · Physics 2015-06-03 Alan Kostelecky , Matthew Mewes

Small violation of Lorentz and CPT symmetries may emerge in models unifying gravity with other forces of nature. An extension of the standard model with all possible terms that violate Lorentz and CPT symmetries are included. Here a…

High Energy Physics - Theory · Physics 2019-03-27 P. R. A. Souza , A. F. Santos , S. C. Ulhoa , F. C. Khanna

A brief summary is given of recent developments concerning a Lorentz-violating extension of the standard model and its implications for experiments testing Lorentz and CPT symmetry.

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

Clock-comparison experiments are among the sharpest existing tests of Lorentz symmetry in matter. We characterize signals in these experiments arising from modifications to electron or nucleon propagators and involving Lorentz- and…

High Energy Physics - Phenomenology · Physics 2018-08-15 Alan Kostelecky , Arnaldo J. Vargas

It is possible to construct Lorentz invariant CPT violating models for Nonlocal Quantum Field Theory. In this article, we present a class of Nonlocal Thirring Models, in which the CPT invariance is violated while the Lorentz invariance is…

High Energy Physics - Theory · Physics 2013-11-25 Pinaki Patra , Jyoti Prasad Saha

We study a number of 1+1d lattice models with anti-unitary symmetries that simultaneously reflect space and reverse time. Some of these symmetries are anomalous, leading to Lieb-Schultz-Mattis-type constraints, thus excluding a trivially…

High Energy Physics - Theory · Physics 2025-12-01 Nathan Seiberg , Shu-Heng Shao , Wucheng Zhang

Apparent violations of CPT and Lorentz symmetry might arise in nature as a result of spontaneous symmetry breaking in a theory beyond the standard model. This talk summarizes a few relevant theoretical and experimental issues, with some…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We propose a simple phenomenological model predicting, through Lorentz symmetry breaking, a CPT-violating asymmetry between particle and antiparticle states in neutrino oscillations involving sterile neutrinos. Such a model is able to…

High Energy Physics - Phenomenology · Physics 2014-11-20 S. Esposito , G. Salesi

We consider the role of Lorentz symmetry in noncommutative field theory. We find that a Lorentz-violating standard-model extension involving ordinary fields is general enough to include any realisitc noncommutative field theory as a subset.…

High Energy Physics - Phenomenology · Physics 2017-08-23 Charles D. Lane

We propose a CPT-even and Lorentz-violating dimension-five nonminimal coupling between fermionic and gauge fields, involving the CPT-even and Lorentz-violating gauge tensor of the Standard-Model Extension. This nonminimal coupling modifies…

High Energy Physics - Theory · Physics 2017-08-23 R. Casana , M. M. Ferreira , E. Passos F. E. P. Dos Santos , E. O. Silva

We discuss the regularization and renormalization of QED with Lorentz and CPT violation, and argue that the coefficient of the Chern-Simons term is an independent parameter not determined by gauge invariance. We also study these issues in a…

High Energy Physics - Theory · Physics 2016-09-06 Manuel Perez-Victoria

In this book, we review various aspects of the Lorentz symmetry breaking, both classical and quantum ones, with the special interest to perturbative generation of Lorentz-breaking terms. We present impacts of Lorentz symmetry breaking in…

High Energy Physics - Theory · Physics 2023-01-13 T. Mariz , J. R. Nascimento , A. Yu. Petrov

In a new theory, local Lorentz invariance is a low-energy symmetry which no longer holds when a fermion energy E is well above 1 TeV. Here we find that the modified E(p) relation is consistent with observation, and is in fact nearly the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. E. Allen

An overview of recent progress on testing Lorentz and CPT symmetry using Penning traps is presented. The theory of quantum electrodynamics with Lorentz-violating operators of mass dimensions up to six is summarized. Dominant shifts in the…

High Energy Physics - Phenomenology · Physics 2021-09-17 Yunhua Ding , Teague D. Olewiler , Mohammad Farhan Rawnak

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

Strongly Correlated Electrons · Physics 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens