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Related papers: CPT-Violating Gravitational Orbital Perturbations

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The breaking of Lorentz symmetry via a dynamical mechanism, with a tensor field which takes on a non-zero expectation value in vacuum, has been a subject of significant research activity in recent years. In certain models of this type, the…

High Energy Physics - Phenomenology · Physics 2010-04-06 Michael D. Seifert

In this work, we explore a Schwarzschild-like black hole within the framework of metric--affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we…

General Relativity and Quantum Cosmology · Physics 2024-07-09 N. Heidari , Caio F. B. Macedo , A. A. Araújo Filho , H. Hassanabadi

An overview is given of effective gravitational field theories with fixed background fields that break spacetime symmetry. The behavior of the background fields and the types of excitations that can occur depend on whether the symmetry…

General Relativity and Quantum Cosmology · Physics 2017-10-31 Robert Bluhm

A vector field coming from spontaneous Lorentz violation mechanism, namely Bumblebee model is analysed in a topological framework in a $(1+2)D$ Minkowski space-time. Taking a $(1+2)D$ nonlinear Bumblebee vector matter field dynamics where…

High Energy Physics - Theory · Physics 2020-07-27 L. P. Colatto , A. L. A. Penna , W. C. Santos

The vacuum solutions arising from a spontaneous breaking of Lorentz symmetry due to the acquisition of a vacuum expectation value by a vector field are derived. These include the purely radial Lorentz symmetry breaking (LSB),…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Orfeu Bertolami , Jorge Paramos

We obtain exact expressions for the quasinormal modes (QNMs) of the massive scalar, fermionic and vector perturbations around a rotating BTZ-like black hole in the Einstein-bumblebee gravity. We find that the Lorentz symmetry breaking (LSB)…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Fangli Quan , Zhong-Wu Xia , Rui Ding , Qiyuan Pan , Jiliang Jing

Vector theories with spontaneous Lorentz violation, known as bumblebee models, are examined in flat spacetime using a Hamiltonian constraint analysis. In some of these models, Nambu-Goldstone modes appear with properties similar to photons…

High Energy Physics - Theory · Physics 2014-11-18 Robert Bluhm , Nolan L. Gagne , Robertus Potting , Arturs Vrublevskis

We propose a simple phenomenological model predicting, through Lorentz symmetry breaking, a CPT-violating asymmetry between particle and antiparticle states in neutrino oscillations involving sterile neutrinos. Such a model is able to…

High Energy Physics - Phenomenology · Physics 2014-11-20 S. Esposito , G. Salesi

Explicit breaking of diffeomorphism symmetry with nondynamical background fields in gravitational theories can lead to inconsistencies between the equations of motion and the underlying pseudo-Riemannian geometry. These theories produce a…

General Relativity and Quantum Cosmology · Physics 2026-01-29 César Riquelme , Carlos M. Reyes , A. F. Santos

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 investigate two concrete cases of phase transitions breaking a subsystem symmetry. The models are two classical compass models featuring line-flip and plane-flip symmetries and correspond to special limits of a Heisenberg-Kitaev…

Strongly Correlated Electrons · Physics 2023-02-23 Giovanni Canossa , Lode Pollet , Ke Liu

We study the propagation and emission of gravitational waves in the metric-affine formulation of the bumblebee model, where spontaneous Lorentz symmetry breaking arises from a vector field acquiring a nonvanishing vacuum expectation value.…

General Relativity and Quantum Cosmology · Physics 2026-05-27 A. A. Araújo Filho

In this note, we describe how the study of backgrounds for general quantum systems can be formulated in terms of the representation theory of abstract $C^*$ algebras. We illustrate our general framework through two example systems:…

High Energy Physics - Theory · Physics 2026-01-15 Marc Klinger

Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Robert Bluhm

We study spontaneous symmetry breaking in quantum field theories with fermionic order parameters and construct, for the first time in the literature, the constraint effective potential for it. The Grassmann-valued constraint we encounter is…

High Energy Physics - Lattice · Physics 2024-12-18 Gergely Endrődi , Tamás G. Kovács , Gergely Markó , Laurin Pannullo

We consider the four-fermion Lifshitz model, introduce in this model an auxiliary vector field, and generate an effective dynamics for this field. We explicitly demonstrate that within this dynamics, the effective bumblebee potential for…

High Energy Physics - Theory · Physics 2019-08-19 T. Mariz , R. Moreira , A. Yu. Petrov

The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary field along with a local symmetry in the initial Lagrangian…

High Energy Physics - Theory · Physics 2015-06-23 Carlos Hernaski

In this work, we investigate the consequences of the spontaneous breaking of Lorentz symmetry, triggered by the bumblebee vector field, on the usual Einstein-Hilbert theory. Specifically, we consider the Einstein-Hilbert action modified by…

High Energy Physics - Theory · Physics 2014-07-11 R. V. Maluf , C. A. S. Almeida , R. Casana , M. M. Ferreira

Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data…

High Energy Physics - Theory · Physics 2024-08-13 Gabriel Cuomo , Leonardo Rastelli , Adar Sharon

In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Hai-Yang Zhang , Ya-Peng Hu , Yu-Sen An