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Geometric phases can manifest when a relativistic quantum particle moves cyclically along a loop in parameter space. The phase can be affected by the presence of a background field and can be accompanied by nontrivial topological features.…

High Energy Physics - Phenomenology · Physics 2025-12-02 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

The notion of uniform and/or constant tensor fields of rank $>0$ is incompatible with general curved spacetimes. This work considers the consequences of certain tensor-valued coefficients for Lorentz violation in the Standard-Model…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Charles D. Lane

We consider a background of the violation of the Lorentz symmetry determined by the tensor $\left( K_{F}\right)_{\mu\nu\alpha\beta}$ which governs the Lorentz symmetry violation out of the Standard Model Extension, where this background…

Quantum Physics · Physics 2017-05-23 R. L. L. Vitória , H. Belich , K. Bakke

We study a recently proposed generalization of the relativistic particle by Kosteleck\'y, that includes explicit Lorentz violation. We present an alternative action for this system and we show that this action can be interpreted as a…

High Energy Physics - Theory · Physics 2015-05-28 Juan M. Romero , Oscar Sánchez-Santos , José David Vergara

The extension of Standard Model of the Fundamental Particles which consider the Lorentz Symmetry Violation governed by a background tensor field presented by Colladay and Kostelecky consider the hypothesis of having a privileged direction…

Quantum Physics · Physics 2021-05-12 J. D. García-Aguilar

Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied. A general action including nonminimal gravitational couplings is constructed, and features of the Nambu-Goldstone and massive modes are…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Brett Altschul , Quentin G. Bailey , Alan Kostelecky

The notion of Lorentz violation in four dimensions is extended to a 5-dimensional brane-world scenario by utilizing a dynamical vector field assumed to point in the bulk direction, with Lorentz invariance holding on the brane. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. Ahmadi , S. Jalalzadeh , H. R. Sepangi

Astrophysical, terrestrial, and space-based searches for Lorentz violation are very briefly reviewed. Such searches are motivated by the fact that all superunified theories (and other theories that attempt to include quantum gravity) have…

High Energy Physics - Theory · Physics 2009-11-10 Roland E. Allen , Seiichirou Yokoo

In this letter, we investigate the effects of Lorentz symmetry violation on a relativistic neutral scalar boson within the framework of the Klein-Gordon formalism. We consider a tensor $(K_F)_{\mu \nu \alpha \beta}$ out of the Standard…

High Energy Physics - Theory · Physics 2025-02-19 Luis B. Castro , Antonio S. de Castro

Despite the tremendous empirical success of equivalence principle, there are several theoretical motivations for existence of a preferred reference frame (or aether) in a consistent theory of quantum gravity. However, if quantum gravity had…

High Energy Physics - Theory · Physics 2015-11-26 Niayesh Afshordi

We investigate the possibility of obtaining traversable wormholes supported by phantom scalar fields in Lorentz-violating gravity with an antisymmetric rank-2 tensor with a non-zero vacuum expectation value non-minimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Renan B. Magalhães , Leandro A. Lessa , Manoel M. Ferreira

The Lorentz symmetry of gravity is spontaneously broken when the nonminimally coupled Kalb-Ramond field acquires a nonzero vacuum expectation value. In this work, we present exact solutions for static and spherically symmetric black holes…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Ke Yang , Yue-Zhe Chen , Zheng-Qiao Duan , Ju-Ying Zhao

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

We present a solution of the coupled Einstein and rank-two antisymmetric tensor field equations where Lorentz symmetry is spontaneously broken, and we discuss its observational signatures. Especially, the deflection angles have important…

General Relativity and Quantum Cosmology · Physics 2012-04-30 Xin-zhou Li , Ping Xi , Qun Zhang

The dipole anomaly in the power spectrum of CMB may indicate that the Lorentz boost invarianc is violated at cosmic scale. We assume that the Lorentz symmetry is violated partly from the scale of galaxy. We employ the symmetry of very…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Yiwei Wu , Xun Xue , Lixiang Yang , Tzu-Chiang Yuan

The accelerating expansion of universe can be described by the non-zero cosmological constant or the dark energy. However, the origin of the dark energy remains a mystery of modern physics. The local Lorentz invariance is the most exact…

General Relativity and Quantum Cosmology · Physics 2018-10-16 Jiayin Shen , Xun Xue

Generic violations of Lorentz symmetry can be described by an effective field theory framework that contains both general relativity and the standard model of particle physics called the Standard-Model Extension (SME). We obtain new…

High Energy Physics - Phenomenology · Physics 2014-01-21 Quentin G. Bailey , Ryan D. Everett , James M. Overduin

We discuss situations under which Lorentz symmetry is violated in effective gravitational field theories that arise in the low-energy limit of strings. In particular, we discuss spontaneous violation of the symmetry by the ground state of…

High Energy Physics - Theory · Physics 2022-05-17 Nick E. Mavromatos

We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field and the analysis of…

Quantum Physics · Physics 2021-01-06 Paolo Amore , Francisco M. Fernández

In this paper, we explore the perturbative renormalization and study the classical dynamics of the bumblebee model coupled to quadratic gravity, a theoretical setting that allows the violation of Lorentz symmetry. Such a violation arises…

High Energy Physics - Theory · Physics 2026-03-13 R. B. Alfaia , Willian Carvalho , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio