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We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation…

High Energy Physics - Theory · Physics 2015-08-18 R. V. Maluf , J. E. G. Silva , C. A. S. Almeida

In any theory with spontaneous symmetry breaking, it is important to account for the massless Nambu-Goldstone and massive Higgs modes. In this short review, the fate of these modes is examined for the case of a bumblebee model, in which…

High Energy Physics - Theory · Physics 2017-08-23 Robert Bluhm

This paper explores the renormalization of scale-free quadratic gravity coupled to the bumblebee field and its potential for dynamically breaking Lorentz symmetry. We conduct one-loop renormalization of the model and calculate the…

High Energy Physics - Theory · Physics 2024-12-09 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

The fate of the Nambu-Goldstone modes arising from spontaneous Lorentz violation is investigated. Using the vierbein formalism, it is shown that up to 10 Lorentz and diffeomorphism Nambu-Goldstone modes can appear and that they are…

High Energy Physics - Theory · Physics 2009-07-09 Robert Bluhm , Alan Kostelecky

Theories with spontaneous local Lorentz and diffeomorphism violation contain massless Nambu-Goldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the shape of the potential also allows…

High Energy Physics - Theory · Physics 2008-11-26 Robert Bluhm , Shu-Hong Fung , Alan Kostelecky

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

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 extend spontaneous baryogenesis by considering the spontaneous breaking of $U(1)_B$ through a complex vector field. This field interacts with baryons and leptons via a vector-current coupling and, by construction, acquires a nonzero…

High Energy Physics - Phenomenology · Physics 2025-12-01 Mattia Dubbini , Orlando Luongo , Aniello Quaranta

Considering quantum gravity within the framework of effective field theory, we investigated the consequences of spontaneous Lorentz violation for the gravitational potential. In particular, we focus our attention on the bumblebee models, in…

High Energy Physics - Theory · Physics 2013-07-03 R. V. Maluf , Victor Santos , W. T. Cruz , C. A. S. Almeida

Spontaneous breaking of local Lorentz symmetry occurs when a local vector or tensor field acquires a nonzero vacuum expectation value. The effects of such breaking are examined in the context of gravity theory. These include an associated…

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

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 study the vacuum solutions of a gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation value. Results are presented for the purely radial Lorentz symmetry breaking (LSB),…

High Energy Physics - Theory · Physics 2009-11-11 O. Bertolami , J. Paramos

Gravitational wave solutions with spontaneous Lorentz symmetry breaking are studied. This breaking is triggered by a vector field, known as the bumblebee field. A brief analysis of the main consequences of this symmetry breaking on…

High Energy Physics - Theory · Physics 2018-12-12 Kevin M. Amarilo , Mapse Barroso F. Filho , Roberto V. Maluf

In this paper, we study the spontaneous Lorentz symmetry breaking for a four-dimensional massless four-fermion model. Our methodology is based on use of the rationalized propagator. We show that a bumblebee potential arises as a result of…

High Energy Physics - Theory · Physics 2017-10-04 J. F. Assuncao , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We study electrically charged, slowly rotating black hole solutions in Einstein-Bumblebee gravity coupled to the traceless (conformal) ModMax nonlinear electrodynamics. By adopting a quadratic bumblebee potential that fixes the vacuum…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Yassine Sekhmani , Wentao Liu , Weike Deng , Kuantay Boshkayev

In this work the Bumblebee model for spontaneous Lorentz symmetry breaking is considered in the context of spherically symmetric astrophysical bodies. A discussion of the modified equations of motion is presented and constraints on the…

Solar and Stellar Astrophysics · Physics 2014-10-23 Jorge Páramos , Gonçalo Guiomar

The Bumblebee Model of spontaneous Lorentz symmetry breaking is explored in a cosmological context, considering a single non-zero time component for the vector field. The relevant dynamic equations for the evolution of the Universe are…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Diogo Capelo , Jorge Páramos

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

A Kerr-Sen-like black hole solution results from Einstein-bumblebee gravity. It contains a Lorentz violating (LV) parameter that enters when the bumblebee field receives vacuum expectation value through a spontaneously breaking of the…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Sohan Kumar Jha , Anisur Rahaman
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