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The aim of this brief review is to present a case study of how astrophysics data can be used to get bounds on Lorentz-violating parameters. For this purpose, a particularly simple Lorentz-violating modification of the Maxwell theory of…

High Energy Physics - Phenomenology · Physics 2008-10-14 F. R. Klinkhamer

While Lorentz invariance, the fundamental symmetry of Einstein's theory of General Relativity, has been tested to a great level of detail, Grand Unified Theories that combine gravity with the other three fundamental forces may result in a…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Fabian Kislat , Henric Krawczynski

Depending on deformed canonical anti-commutation relations, massless neutrino oscillation based on Lorentz invariance violation in non-commutative field theory is discussed. It is found that the previous studies about massless neutrino…

High Energy Physics - Phenomenology · Physics 2017-04-05 Cui-Bai Luo , Song Shi , Yi-Lun Du , Yong-Long Wang , Hong-Shi Zong

In the context of threshold investigations of Lorentz violation, we discuss the fundamental principle of coordinate invariance, the role of an effective dynamical framework, and the conditions of positivity and causality. Our analysis…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Lehnert

We show that diffeomorphism invariance of the Maxwell and the Dirac-Hestenes equations implies the equivalence among different universe models such that if one has a linear connection with non-null torsion and/or curvature the others have…

Mathematical Physics · Physics 2008-07-11 Roldao da Rocha , Waldyr A. Rodrigues

We study a massive gravity theory which is Lorentz violating all the way from ultraviolet to infrared energy scales. At short distances the theory breaks diffeomorphism invariance and time and space scale differently. Dynamical metric…

High Energy Physics - Theory · Physics 2012-07-13 Bertha Cuadros-Melgar , Eleftherios Papantonopoulos , Minas Tsoukalas , Vassilios Zamarias

We consider a system of nonlinear equations that extends the Maxwell theory. It was pointed out in a previous paper that symmetric solutions of these equations display properties characteristic of magnetic oscillations. In this paper I…

Superconductivity · Physics 2007-05-23 Artur Sowa

In this paper, we consider an electrodynamics of higher derivatives coupled to a Lorentz-violating background tensor. Specifically, we are interested in a dimension-five term of the CPT-odd sector of the nonminimal Standard-Model Extension.…

High Energy Physics - Theory · Physics 2019-10-01 Manoel M. Ferreira , Letícia Lisboa-Santos , Roberto V. Maluf , Marco Schreck

Microcausality -- the vanishing of commutators outside the lightcone -- is a fundamental property of relativistic quantum field theories. We derive its implications for two-point functions of scalar operators on {\it Lorentz-breaking}…

High Energy Physics - Theory · Physics 2025-07-24 Lam Hui , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

Recently Coleman and Glashow [1] have developed a model which allows the introduction of a small violation of Lorentz invariance. Observational signatures arise because this interaction also violates flavor conservation and allows the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Cowsik , B. V. Sreekantan

We have studied a (1+2)-dimensional Lorentz-violating model which is obtained from the dimensional reduction of the nonbirefringent sector of the CPT-even electrodynamics of the standard model extension (SME). The planar theory contains a…

High Energy Physics - Theory · Physics 2012-03-08 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

In this paper, we study the (1+3) dimensional massive Maxwell-Dirac system in the context of global existence and asymptotic behavior of solutions under the Lorenz gauge condition, as well as the modified and linear scattering phenomena for…

Analysis of PDEs · Mathematics 2024-08-08 Yonggeun Cho , Kiyeon Lee

This work explores a Standard Model (S.M.) extension possibility, that violates Lorentz invariance, preserving the space-time isotropy and homogeneity. In this sense HMSR represents an attempt to introduce an isotropic Lorentz Invariance…

High Energy Physics - Theory · Physics 2019-10-03 M. D. C. Torri , V. Antonelli , L. Miramonti

The Maxwell action is conformally invariant and classically ignorant of conformally flat metrics. However, if the vector lives in a disformal metric--- as it does if residing upon a moving brane---this is no longer true. The disformal…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Tomi S. Koivisto , Federico R. Urban

This article concerns the fate of local Lorentz invariance in quantum gravity, particularly for approaches in which a discrete structure replaces continuum spacetime. Some features of standard quantum mechanics, presented in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joe Henson

We consider different renormalizable models of Lorentz invariance violation. We show that the limits on birefringence of the propagation of cosmic microwave background photons from the five year data of the Wilkinson microwave anisotropy…

Astrophysics · Physics 2009-01-08 Tina Kahniashvili , Ruth Durrer , Yurii Maravin

Two-dimensional layered aperiodic Ising systems are studied in the extreme anisotropic limit where they correspond to quantum Ising chains in a transverse field. The modulation of the couplings follows an aperiodic sequence generated…

Statistical Mechanics · Physics 2008-02-03 P. E. Berche , B. Berche , L. Turban

In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Bahram Mashhoon

We study analytically the effect of a weak random chemical potential of zero average in an Einstein-Maxwell background. For uncorrelated disorder this perturbation is relevant however we show that it can become marginal or even irrelevant…

High Energy Physics - Theory · Physics 2016-03-11 Antonio M. García-García , Bruno Loureiro

We consider two alternative dark energy models: a Lorentz invariance preserving model with a nonminimally coupled scalar field and a Lorentz invariance violating model with a minimally coupled scalar field. We study accelerated expansion…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Kourosh Nozari , S. Davood Sadatian