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A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance, controlled by the dimension (-2) parameter, theta_{mu nu}. We assume that the zeroth order term in theta-expansion…

High Energy Physics - Phenomenology · Physics 2017-08-23 Irina Mocioiu , Maxim Pospelov , Radu Roiban

The discovery of gravitational waves (GWs) provides an unprecedented arena to test general relativity, including the gravitational Lorentz invariance violation (gLIV). In the propagation of GWs, a generic gLIV leads to anisotropy,…

High Energy Physics - Phenomenology · Physics 2020-05-20 Lijing Shao

We study the effect of Lorentz symmetry violation (LSV) on the behaviour at high energy of SU(N) gauge theory with quarks in the fundamental representation. The approach is similar to that for QED treated in a previous paper. In contrast to…

High Energy Physics - Theory · Physics 2020-04-15 I. T. Drummond

The QED effective action encodes nonlinear interactions due to quantum vacuum polarization effects. While much is known for the special case of electrons in a constant electromagnetic field (the Euler-Heisenberg case), much less is known…

High Energy Physics - Theory · Physics 2009-10-31 Gerald V. Dunne

We investigate an alternative CPT-odd Lorentz-breaking QED which includes the Carroll-Field-Jackiw (CFJ) term of the Standard Model Extension (SME), writing the gauge sector in the action in a Palatini-like form, in which the vectorial…

High Energy Physics - Theory · Physics 2019-09-12 J. C. C. Felipe , H. G. Fargnoli , A. P. Baeta Scarpelli , L. C. T. Brito

In this work, we generalize the spacetime induced by a rotating cosmic string, taking into account anisotropic effects due the breaking of the Lorentz violation. In particular, we explore the energy levels of a massive spinless particle…

General Relativity and Quantum Cosmology · Physics 2024-05-27 A. A. Araújo Filho , J. A. A. S. Reis , L. Lisboa-Santos

We present a fully covariant and gauge-invariant analysis of linear cosmological perturbations in Energy-Momentum Squared Gravity. Working within the 1+3 formalism, we derive the exact propagation equations for scalar, vector, and tensor…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Peter K. S. Dunsby , Maria-Alexia Caldis , Eduardo Bittencourt

A Lorentz-noninvariant modification of quantum electrodynamics (QED) is considered, which has photons described by the nonbirefringent sector of modified Maxwell theory and electrons described by the standard Dirac theory. These photons and…

High Energy Physics - Theory · Physics 2009-12-04 E. Kant , F. R. Klinkhamer , M. Schreck

This work studies the effects of a through-flow on two-dimensional electrohydrodynamic (EHD) flows of a dielectric liquid confined between two plane plates, as a model problem to further our understanding of the fluid mechanics in the…

Fluid Dynamics · Physics 2022-02-03 Zhe Feng , Dongdong Wan , Bo-Fu Wang , Mengqi Zhang

The relentless efforts of the physics community has not yet availed us the solution of how to unify the Quantum Mechanics with General Relativity, a puzzle that has engaged the minds of the physicists for almost a century. The insufficiency…

High Energy Physics - Phenomenology · Physics 2016-02-25 Soner Albayrak

We develop a detailed analysis of synchrotron radiation in the effective Lorentz invariance violating (LIV) model of Myers-Pospelov, considering explicitly both the dynamics of the charge producing the radiation and the dynamics of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. Montemayor , L. F. Urrutia

Within the effective-mass approximation, we theoretically investigated the electronic and transport properties of 2D semiconductor quantum wires (QWs) with anisotropic effective masses and different orientations with respect to the…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 S. M. Cunha , D. R. da Costa , L. C. Felix , Andrey Chaves , J. Milton Pereira

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

We explore the intimate connection between spacetime geometry and electrodynamics. This link is already implicit in the constitutive relations between the field strengths and excitations, which are an essential part of the axiomatic…

General Relativity and Quantum Cosmology · Physics 2017-02-14 Francisco Cabral , Francisco S. N. Lobo

We examine the effects of electromagnetic field non-linearities in $3$ space-time dimensions. We focus on how these non-linearities influence permittivity and susceptibility. This, in turn, leads to changes in the refractive index through…

High Energy Physics - Phenomenology · Physics 2024-12-13 Patricio Gaete , J. A. Helayël-Neto

We consider a self-gravitating system containing a globally timelike Killing vector and a nonlinear Born-Infeld electromagnetic field and scalar fields. We prove that under certain boundary conditions (asymptotically flat/AdS) there can't…

General Relativity and Quantum Cosmology · Physics 2014-07-22 Li-Ming Cao , Yuxuan Peng , Jianfei Xu

We describe several recent results obtained in collaboration with P. Gravejat, C. Hainzl, E. S\'er\'e and J.P. Solovej, concerning a nonlinear model for the relativistic quantum vacuum in interaction with a classical electromagnetic field.

Mathematical Physics · Physics 2012-09-14 Mathieu Lewin

We consider the Pleba{\'n}ski class of nonlinear theories of vacuum electrodynamics, i.e., Lagrangian theories that are Lorentz invariant and gauge invariant. Our main goal is to derive the transport law of the polarization plane in such a…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Volker Perlick , Claus Lämmerzahl , Alfredo Macias

To complement recent work on tests of spacetime symmetry in gravity, cubic curvature couplings are studied using an effective field theory description of spacetime-symmetry breaking. The associated mass dimension 8 coefficients for Lorentz…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Quentin G. Bailey

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the…

High Energy Physics - Theory · Physics 2009-10-31 Gary W. Gibbons , Koji Hashimoto