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We compute the classical and the quantum breaking of the dilatation current in the minimal Lorentz and CPT-violating quantum electrodynamics. At the classical level, scale symmetry is broken by the general mass term \bar{\psi}M\psi and the…

High Energy Physics - Theory · Physics 2023-09-28 J. S. Porto , A. R. Vieira

Inspired in discussions presented lately regarding Lorentz-violating interaction terms in \cite{13,6}, we propose here a slightly different version for the coupling term. We will consider a modified quantum electrodynamics with violation of…

High Energy Physics - Theory · Physics 2014-08-19 R. Bufalo

It has been argued in hep-ph/0212382 that there may be observable effects from photon triple splitting in an extended version of quantum electrodynamics with Lorentz violation in the fermion sector. The argument is based on an analogy with…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Adam , F. R. Klinkhamer

In this work we report new results concerning the question of dynamical mass generation in the Lorentz and PCT violating quantum electrodynamics. A one loop calculation for the vacuum polarization tensor is presented. The electron…

High Energy Physics - Theory · Physics 2008-11-26 G. Bonneau , L. C. Costa , J. L. Tomazelli

Lorentz invariance violation is a feature of several quantum gravity models in which Lorentz symmetry is broken at high energies, possibly leading to changes in particle behavior and interactions. In this work, we investigate vacuum…

High Energy Astrophysical Phenomena · Physics 2025-11-06 Andrey Saveliev , Rafael Alves Batista , Feodor Mishin

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

Low-energy remnant fundamental symmetry violations may be present in nature at levels attainable in upcoming experiments. These effects may arise through spontaneous symmetry breaking in a more complete Lorentz covariant theory underlying…

High Energy Physics - Phenomenology · Physics 2007-05-23 Don Colladay

We investigate the breakdown of Lorentz symmetry in QED by a CPT violating interaction term consisting of the coupling of an axial fermion current with a constant vector field $b$, in the framework of algebraic renormalization -- a…

High Energy Physics - Theory · Physics 2010-05-25 Oswaldo M. Del Cima , Jakson M. Fonseca , Daniel H. T. Franco , Olivier Piguet

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for…

High Energy Physics - Theory · Physics 2016-11-16 Lukas Janssen

Perturbative expansions of relativistic quantum field theories typically contain ultraviolet divergences requiring regularization and renormalization. Many different regularization techniques have been developed over the years, but most…

High Energy Physics - Theory · Physics 2009-08-13 Matt Visser

Friction incorporates the close connection between classical mechanics in irreversible thermodynamics. The translation to a quantum mechanical foundation is not trivial and requires a generalization of the Lagrange function. A change to…

Medical Physics · Physics 2015-02-02 W. Ulmer

Various ambiguous results on radiatively induced Lorentz and CPT violation in quantum electrodynamics with a modified fermionic sector are reviewed and possible explanations for this ambiguity appearing in the literature are commentated.…

High Energy Physics - Theory · Physics 2009-11-07 W. F. Chen

The propagation of electromagnetic waves in a Lorentz-symmetry violating scenario where there is a region of polarized vacuum is studied. It turns out that the photon field acquires an interesting polarization state, possibly useful to set…

High Energy Physics - Theory · Physics 2015-05-28 B. Agostini , F. A. Barone , F. E. Barone , Patricio Gaete , J. A. Helayël-Neto

Lorentz invariance violation is a feature of several quantum gravity models in which Lorentz symmetry is broken at high energies, leading to potential changes in particle behavior and interactions. In this study, we investigate vacuum…

High Energy Astrophysical Phenomena · Physics 2025-08-19 Andrey Saveliev , Rafael Alves Batista , Feodor Mishin

We study consequences of Lorentz symmetry violation in a z=2 Lifshitz extension of QED in 3+1 dimensions, and we discuss non-trivial effects of quantization. Because of the specific power of space momentum in propagators of the model,…

High Energy Physics - Theory · Physics 2015-06-16 Jean Alexandre , James Brister

Within the context of Lorentz violating extended electrodynamics, we study an analog of Landau quantization for a system where a neutral particle moves in the presence of an electromagnetic field and a constant four-vector that breaks…

High Energy Physics - Theory · Physics 2008-08-14 E. Passos , L. R. Ribeiro , C Furtado , J. R. Nascimento

In this thesis we are interested in understanding how Lorentz symmetry violation can affect some features of fermion dynamics and, perhaps, help to solve some well-known problems in particle physics, such as the origin of neutrino masses…

High Energy Physics - Phenomenology · Physics 2016-12-28 Julio Leite

In this paper we deal with the issue of Lorentz symmetry breaking in quantum field theories formulated in a non-commutative space-time. We show that, unlike in some recente analysis of quantum gravity effects, supersymmetry does not protect…

High Energy Physics - Theory · Physics 2009-11-11 A. F. Ferrari , H. O. Girotti , M. Gomes

Many theoretical approaches to quantum gravity predict the breakdown of Lorentz symmetry at Planck energies. Kinematical cosmic-ray studies are a sensitive tool in the search for such effects. This talk discusses the construction of test…

Astrophysics · Physics 2009-11-13 Ralf Lehnert

In this work, we obtain bound states for a nonrelativistic spin-half neutral particle under the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects. We present a new possible scenario of studying the…

Mathematical Physics · Physics 2012-09-20 Knut Bakke , Humberto Belich