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Lorentz invariance is a fundamental symmetry of both Einstein's theory of general relativity and quantum field theory. However, deviations from Lorentz invariance at energies approaching the Planck scale are predicted in many quantum…

高能天体物理现象 · 物理学 2023-04-05 Jun-Jie Wei , Xue-Feng Wu

Lorentz and diffeomorphism violations are studied in linearized gravity using effective field theory. A classification of all gauge-invariant and gauge-violating terms is given. The exact covariant dispersion relation for gravitational…

广义相对论与量子宇宙学 · 物理学 2018-02-23 Alan Kostelecky , Matthew Mewes

Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one…

广义相对论与量子宇宙学 · 物理学 2012-04-04 Pankaj Sharan

In this work, we discuss the polarization contents of Einstein-\ae ther theory and the generalized tensor-vector-scalar (TeVeS) theory, as both theories have a normalized timelike vector field. We derive the linearized equations of motion…

广义相对论与量子宇宙学 · 物理学 2018-04-25 Yungui Gong , Shaoqi Hou , Dicong Liang , Eleftherios Papantonopoulos

We modify the scalar Einstein-aether theory by breaking the Lorentz invariance of a gravitational theory coupled to a Galileon type scalar field. This is done by introducing a Lagrange multiplier term into the action, thus ensuring that the…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

高能物理 - 唯象学 · 物理学 2026-01-21 Zurab Kepuladze

In this paper, the aether field, which leads to the violation of Lorentz symmetries, coupled with the electromagnetic field is considered. In order to study thermal and size effects in this theory, the Thermo Field Dynamics (TFD) formalism…

高能物理 - 理论 · 物理学 2023-06-07 R. Corrêa , L. H. A. R. Ferreira , A. F. Santos , Faqir C. Khanna

Many of the technical complications associated with the general theory of relativity ultimately stem from the nonlinearity of Einstein's equation. It is shown here that an appropriate choice of dynamical variables may be used to eliminate…

广义相对论与量子宇宙学 · 物理学 2015-01-07 Abraham I. Harte

The Lorentz transformations are represented on the ball of relativistically admissible velocities by Einstein velocity addition and rotations. This representation is by projective maps. The relativistic dynamic equation can be derived by…

经典物理 · 物理学 2010-08-23 Yaakov Friedman

Lorentz invariance, the fundamental symmetry of Einstein's theory of Special Relativity, has been established and tested by many classical and modern experiments. However, many theories that unify the Standard Model of particle physics and…

高能天体物理现象 · 物理学 2016-08-15 Fabian Kislat , Henric Krawczynski

Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and TeV $\gamma$-rays require disturbed non-quadratic dispersion relations, which suggest the Lorentz violation. Also, some new theories such as quantum gravity, string…

综合物理 · 物理学 2007-08-14 Ying-Qiu Gu

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

高能天体物理现象 · 物理学 2017-07-26 Paul M. Chesler , Abraham Loeb

Higher-derivative modifications of general relativity are generically expected from effective field theory approaches to quantum gravity, and they arise naturally in Lorentz-violating theories such as Einstein-Ether gravity. In this work,…

广义相对论与量子宇宙学 · 物理学 2025-07-02 Sayantan Choudhury , Md Khalid Hossain , Gulnur Bauyrzhan , Koblandy Yerzhanov

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

高能物理 - 理论 · 物理学 2008-04-07 Zhe Chang , Xin Li

In this paper, we give the covariant formulation of second gradient electrodynamics, which is a generalized electrodynamics of second order including derivatives of higher order. The relativistic form of the field equations, the…

经典物理 · 物理学 2020-11-23 Markus Lazar , Jakob Leck

A certain vector-tensor (VT) theory is revisited. It was proposed and analyzed as a theory of electromagnetism without the standard gauge invariance. Our attention is first focused on a detailed variational formulation of the theory, which…

宇宙学与河外天体物理 · 物理学 2013-01-15 Roberto Dale , Diego Sáez

Lorentz violations in gravitational waves are investigated. Plane-wave solutions for arbitrary gauge-invariant violations in linearized gravity are constructed. Signatures of Lorentz violation include dispersion, birefringence, and…

广义相对论与量子宇宙学 · 物理学 2019-06-05 Matthew Mewes

We have taken a modified version of the Einstein Hilbert action, $ f(R, T^\phi) $ gravity under consideration, where $T^\phi$ is the energy-momentum tensor trace for the scalar field under consideration. The structural behaviour of the…

广义相对论与量子宇宙学 · 物理学 2021-11-22 Sourav Roy Chowdhury , Maxim Khlopov

We introduce a new version of non-linear electrodynamics which is produced by a spontaneous symmetry breaking of Lorentz invariance induced by the non-zero expectation value of the electromagnetic field strength. The symmetry breaking…

高能物理 - 唯象学 · 物理学 2010-04-06 Jorge Alfaro , Luis F. Urrutia

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

高能物理 - 理论 · 物理学 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen