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In this work, we consider a theoretical model that presents violation of the Lorentz symmetry in the approach of Quantum Field Theory. The theoretical model adopted consists of a real massive scalar quantum field confined in the region…

High Energy Physics - Theory · Physics 2023-06-28 E. R. Bezerra de Mello , M. B. Cruz

The possibility that Lorentz symmetry is violated in gravitational processes is relatively unconstrained by experiment, in stark contrast with the level of accuracy to which Lorentz symmetry has been confirmed in the matter sector. One…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Benjamin Withers

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

We study a theory where the presence of an extra spin-two field coupled to gravity gives rise to a phase with spontaneously broken Lorentz symmetry. In this phase gravity is massive, and the Weak Equivalence Principle is respected. The…

High Energy Physics - Theory · Physics 2008-11-26 Z. Berezhiani , D. Comelli , F. Nesti , L. Pilo

We construct supersymmetric Lorentz violating operators for matter and gauge fields. We show that in the supersymmetric Standard Model the lowest possible dimension for such operators is five, and therefore they are suppressed by at least…

High Energy Physics - Phenomenology · Physics 2011-10-11 Stefan Groot Nibbelink , Maxim Pospelov

We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable…

High Energy Physics - Theory · Physics 2015-01-14 T. R. S. Santos , R. F. Sobreiro

Gauge symmetries indicate redundancies in the description of the relevant degrees of freedom of a given field theory and restrict the nature of observable quantities. One of the problems faced by emergent theories of relativistic fields is…

General Relativity and Quantum Cosmology · Physics 2018-02-08 Carlos Barceló , Raúl Carballo-Rubio , Francesco Di Filippo , Luis J. Garay

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 general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alan Kostelecky , Robertus Potting

Many new linearized coefficients for Lorentz violation are discovered in our recent work on the construction of a generic Lorentz-violating effective field theory in curved spacetime. The new coefficients can be constrained by experiments…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Zonghao Li

This study demonstrates that the common practice of determining spontaneous Lorentz violation via the minimum of a Lagrangian potential is generally incorrect. By analyzing the Hamiltonian structure and constraints of vector fields, we show…

High Energy Physics - Phenomenology · Physics 2026-04-15 Jie Zhu , Hao Li , Zhi Xiao

A cornerstone of special relativity is Lorentz Invariance, the postulate that all observers measure exactly the same photon speeds independently on the photon energies. However, a hypothesized structure of spacetime may alter this…

High Energy Astrophysical Phenomena · Physics 2017-08-23 Vlasios Vasileiou

We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ($\nabla_\mu g_{\alpha\beta}\not=0$). Examples of…

High Energy Physics - Theory · Physics 2024-01-19 D. M. Ghilencea

Bohmian mechanics and spontaneous collapse models are theories that overcome the quantum measurement problem. While they are naturally formulated for non-relativistic systems, it has proven difficult to formulate Lorentz invariant…

Quantum Physics · Physics 2024-02-27 Ward Struyve

The assumption of Lorentz invariance is one of the founding principles of Modern Physics and violation of it would have profound implications to our understanding of the universe. For instance, certain theories attempting a unified theory…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Michael Daniel

We construct a non-linear electrodynamics arising from the spontaneous Lorentz symmetry breaking triggered by a non-zero vacuum expectation value of the electromagnetic field strength, instead of the electromagnetic potential. The expansion…

High Energy Physics - Theory · Physics 2014-05-13 C. A. Escobar , L. F. Urrutia

We argue that spontaneous Lorentz violation may generally lead to metastable domain walls related to the simultaneous violation of some accompanying discrete symmetries. Remarkably, such domain wall solutions exist for space-like Lorentz…

High Energy Physics - Theory · Physics 2009-09-24 J. L. Chkareuli , Archil Kobakhidze , Raymond R. Volkas

The anomalous Nambu-Goldstone (NG) theorem which is found as a violation of counting law of the number of NG bosons of the normal NG theorem in nonrelativistic and Lorentz-symmetry-violated relativistic theories is studied in detail, with…

General Physics · Physics 2013-12-04 Tadafumi Ohsaku

It is of general agreement that a quantum gravity theory will most probably mean a breakdown of the standard structure of space-time at the Planck scale. This has motivated the study of Planck-scale Lorentz Invariance Violating (LIV)…

High Energy Physics - Theory · Physics 2008-11-26 P. M. Crichigno , H. Vucetich

We analyze the phenomenological consequences of a Lorentz violating energy-momentum dispersion relation in order to give a simple explanation for the baryon asymmetry in the Universe. By assuming very few hypotheses, we propose a…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. Di Grezia , S. Esposito , G. Salesi