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Cosmological limits on Lorentz invariance breaking in Chern-Simons $(3+1)-dimensional$ electrodynamics are used to place limits on torsion. Birefrigence phenomena is discussed by using extending the propagation equation to Riemann-Cartan…

High Energy Physics - Theory · Physics 2007-05-23 L. C. Garcia de Andrade

We investigate the relativistic dynamics of a spin half particle in the presence of a Lorentz-violating background within the framework of effective field theory. A modified Dirac Hamiltonian is considered, arising from a CPT odd coupling…

High Energy Physics - Phenomenology · Physics 2026-04-10 E. Maciel , M. A. Anacleto , K. E. L. Farias , E. Passos

The source of CPT-violation in the photon sector of the Standard Model Extension arises from a Chern-Simons-like contribution that involves a coupling to a fixed background vector field $k_{AF}^\mu$. These Lorentz- and CPT-violating photons…

High Energy Physics - Theory · Physics 2016-06-15 Don Colladay , Patrick McDonald , Robertus Potting

In the presence of Lorentz violation, the motion of a charged particle in a magnetic field is distorted. By measuring the eccentricities of particles' elliptical orbits and studying how those eccentricities vary with the absolute…

High Energy Physics - Phenomenology · Physics 2011-10-17 Brett Altschul

In this brief review we explicitly calculate the radiative corrections to the Chern-Simons-like term in the cases of zero and finite temperature, and in the gravity theory. Our results are obtained under the general guidance of dimensional…

High Energy Physics - Theory · Physics 2015-06-26 T. Mariz , J. R. Nascimento , E. Passos

Modified theories of electrodynamics that include violations of Lorentz symmetry often allow for the possibility of vacuum Cerenkov radiation. This phenomenon has previously been studied in a number of Lorentz-violating theories, but none…

High Energy Physics - Theory · Physics 2015-06-19 Brett Altschul

We examine a new class of CPT-even and dimension-five nonminimal interactions between fermions and photons, deprived of higher-order derivatives, yielding electric dipole moment and magnetic dipole moment in the context of the Dirac…

High Energy Physics - Phenomenology · Physics 2016-07-29 J. B. Araujo , Rodolfo Casana , M. M. Ferreira

CPT-odd effects on the neutrino charge radius are studied within the Standard Model Extension. We consider CPT violation from the electroweak Yang-Mills sector, characterized by Lorentz-violating coefficients $(k_1)_\mu$ and $(k_2)_\mu$,…

High Energy Physics - Phenomenology · Physics 2025-08-21 Y. Flores-Orea , J. J. Toscano

This article reviews many of the observational constraints on Lorentz symmetry violation (LV). We first describe the GZK cutoff and other phenomena that are sensitive to LV. After a brief historical sketch of research on LV, we discuss the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ted Jacobson , Stefano Liberati , David Mattingly

Approximate all-terrain spacetimes for astrophysical applications are presented. The metrics possess five relativistic multipole moments, namely mass, rotation, mass quadrupole, charge, and magnetic dipole moment. All these spacetimes…

General Relativity and Quantum Cosmology · Physics 2024-11-25 Francisco Frutos-Alfaro

We, first, analytically work out the long-term, i.e. averaged over one orbital revolution, perturbations on the orbit of a test particle moving in a local Fermi frame induced therein by the cosmological tidal effects of the inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2010-06-07 Lorenzo Iorio

There is a unique Lorentz-violating modification of the Maxwell theory of photons, which maintains gauge invariance, CPT, and renormalizability. Restricting the modified-Maxwell theory to the isotropic sector and adding a standard…

High Energy Physics - Phenomenology · Physics 2010-04-21 F. R. Klinkhamer , M. Schreck

We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field dynamics is governed by a Lorentz-violating extension of…

High Energy Physics - Theory · Physics 2026-03-10 M. B. Cruz , E. R. Bezerra de Mello , A. Martín-Ruiz

A natural modification of the equations of covariantly-constant vector fields (CCVF) in Weyl geometry leads us to consider a metric compatible geometry possessing conformal curvature and torsion fully determined by its trace. The latter is…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Vladimir V. Kassandrov , Joseph A. Rizcallah

Exotic spacetimes often require violations of the weak energy condition (WEC), a feat that is difficult to achieve with realistic matter. We explore a conservative route to WEC violation within an effective field theory (EFT) by adding a…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Tao Huang

We consider a relativistic hydrogenic atom in a strong magnetic field. The ground state level depends on the strength of the magnetic field and reaches the lower end of the spectral gap of the Dirac-Coulomb operator for a certain critical…

Analysis of PDEs · Mathematics 2007-12-27 Jean Dolbeault , Maria J. Esteban , Michael Loss

In recent years, the breakdown of spacetime symmetries has been identified as a promising research field in the context of Planck-scale phenomenology. For example, various theoretical approaches to the quantum-gravity problem are known to…

High Energy Physics - Phenomenology · Physics 2009-10-08 Ralf Lehnert

We consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order (Einstein-Cartan) approach to General Relativity,…

High Energy Physics - Theory · Physics 2008-11-26 Marcelo Botta Cantcheff

We consider topological defects for the $\lambda\phi^4$ theory in (1+1) dimensions with a Lorentz-violating background. It has been shown, by M. Barreto et al. (2006) \cite{barreto2006defect}, one cannot have original effects in (the…

High Energy Physics - Theory · Physics 2021-03-17 Reza Moazzemi , Mohammad Mehdi Ettefaghi , Amirhosein Mojavezi

We consider pure three-dimensional Maxwell-Chern-Simons electrodynamics in the static limit. We show that this theory can be mapped onto a two-dimensional gravitational model in the first-order formalism of Riemannian manifolds with…

High Energy Physics - Theory · Physics 2025-09-24 Thales F. Bittencourt , Rodrigo F. Sobreiro
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