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Finsler geometry is a natural arena to investigate the physics of spacetimes with local Lorentz violating. The directional dependence of the Finsler metric provides a way to encode the Lorentz violating effects into the geometric structure…

High Energy Physics - Theory · Physics 2021-04-29 J. E. G. Silva

We investigate the asymptotic structure of electromagnetism in Minkowski space in even and odd spacetime dimensions $\geq 4$. We focus on $d>4$ since the case $d=4$ has been studied previously at length. We first consider spatial infinity…

High Energy Physics - Theory · Physics 2019-06-19 Marc Henneaux , Cedric Troessaert

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

We investigate how spontaneous Lorentz symmetry breaking in bumblebee gravity modifies particle dynamics, thermodynamics, and vacuum energy around a static black hole background. Starting from the optical-mechanical correspondence, we…

General Relativity and Quantum Cosmology · Physics 2026-01-13 A. A. Araújo Filho , K. E. L. de Farias , E. Passos , F. A. Brito , Ali Övgün , Hassan Hassanabadi , V. B. Bezerra , Amilcar R. Queiroz

We show that the electromagnetic field tensor and the Lorentz Force are both a natural consequence of the geometric structure of Minkowskian space, being related to infinitesimal boosts and rotations in spacetime. The longstanding issue…

Mathematical Physics · Physics 2007-05-23 J. Buitrago , Chus Martin

The propagator for the massless vector field in de Sitter space cannot maintain de Sitter invariance in the general covaraint gauge, except in the exactly transverse gauge limit. This is due to a previously overlooked Ward-Takahashi…

High Energy Physics - Theory · Physics 2024-07-30 Dražen Glavan , Tomislav Prokopec

In this note we investigate the anomalous breaking of anisotropic scaling symmetry in a non-relativistic field theory with dynamical exponent z=2. On general grounds, one can show that there exist two possible "central charges" which…

High Energy Physics - Theory · Physics 2012-09-25 Marco Baggio , Jan de Boer , Kristian Holsheimer

In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed…

High Energy Physics - Theory · Physics 2019-01-21 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May

In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the…

High Energy Physics - Theory · Physics 2019-02-06 H. G. M. Fortes , D. Dalmazi

Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $\phi^4$ theory is relatively simple compared to other more complex theories,…

High Energy Physics - Theory · Physics 2024-01-24 Chen-Te Ma , Yiwen Pan , Hui Zhang

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

We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed…

High Energy Physics - Theory · Physics 2018-07-18 Charles Mazuet , Mikhail S. Volkov

We show that free $\kappa$-Minkowski space field theory is equivalent to a relativistically invariant, non local, free field theory on Minkowski space-time. The field theory we obtain has in spectrum a relativistic mode of arbitrary mass…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Freidel , Jerzy Kowalski-Glikman , Sebastian Nowak

Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry…

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

The spontaneous breaking of a global discrete translational symmetry in the finite, lattice quantum sine-Gordon model is demonstrated by a density matrix renormalization group. A phase diagram in the coupling constant - inverse system size…

Statistical Mechanics · Physics 2009-10-31 S. G. Chung

Lorentz violation serves as a significant feature in many modified theories of gravity. In particular, spontaneous Lorentz violation induced by the Kalb-Ramond field has attracted considerable attention. Recently, an electrically charged…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yun-Tao Gu , Wen-Di Guo , Yu-Xiao Liu

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 work analyze the physical consistency of a nonbirefringent Lorentz-violating planar model via the analysis of the pole structure of its Feynman propagators. The nonbirefringent planar model, obtained from the dimensional reduction…

High Energy Physics - Theory · Physics 2012-08-14 Rodolfo Casana , Manoel M. Ferreira , Roemir P. M. Moreira

Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential is discussed in two ways: In terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position…

High Energy Physics - Theory · Physics 2011-05-04 Jochen Zahn

We present an extension of the Randall--Sundrum model in which, due to spontaneous Lorentz symmetry breaking, graviton mixes with bulk vector fields and becomes quasilocalized. The masses of KK modes comprising the four-dimensional graviton…

High Energy Physics - Theory · Physics 2009-11-11 D. S. Gorbunov , S. M. Sibiryakov