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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

We constrain the parameter space of the Bumblebee model in a cosmological background and then investigate the properties of gravitational waves within the constrained parameter space. Our analysis reveals seven perturbative degrees of…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Xiao-Bin Lai , Yu-Qi Dong , Yu-Zhi Fan , Yu-Xiao Liu

Yang-Mills theories supplemented by an additional coordinate constraint, which is solved and substituted in the original Lagrangian, provide examples of the so called Nambu models, in the case where such constraints arise from spontaneous…

High Energy Physics - Theory · Physics 2017-06-07 C. A. Escobar , L. F. Urrutia

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

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 a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alan Kostelecky , Robertus Potting

By keeping the cosmological principle i.e., an isotropic and homogeneous universe, we consider the cosmology of a vector-tensor theory of gravitation known as the \textit{bumblebee} model. In this model a single Lorentz-violating timelike…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Mohsen Khodadi , Gaetano Lambiase , Ahmad Sheykhi

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

Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied. A general action including nonminimal gravitational couplings is constructed, and features of the Nambu-Goldstone and massive modes are…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Brett Altschul , Quentin G. Bailey , Alan Kostelecky

We reconsider an alternative theory of the QED with the photon as a massless vector Nambu-Goldstone boson and show that the underlying spontaneous Lorentz violation caused by the vector field vacuum expectation value, while being…

High Energy Physics - Theory · Physics 2008-11-26 J. L. Chkareuli , Z. Kepuladze , G. Tatishvili

We study the vacuum structure of a class of Lorentz invariant field theories where the vacuum expectation values are not constant but are (phase) modulated. The vacua are classified into spatial, temporal, and light-like modulation types…

High Energy Physics - Theory · Physics 2019-02-22 Sven Bjarke Gudnason , Muneto Nitta , Shin Sasaki , Ryo Yokokura

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

In this paper, we investigate the quasinormal modes (QNMs) of a Lorentz-violating spacetime, factoring in a cosmological constant, within the framework of Einstein-Bumblebee gravity. Our findings reveal that the interaction of spacetime…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Wentao Liu , Xiongjun Fang , Jiliang Jing , Jieci Wang

After imposing the Gauss law constraint as an initial condition upon the Hilbert space of the Nambu model, in all its generic realizations, we recover QED in the corresponding non-linear gauge A_{\mu}A^{\mu}=n^{2}M^{2}. Our result is…

High Energy Physics - Theory · Physics 2015-06-04 O. J. Franca , R. Montemayor , L. F. Urrutia

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

In this study, we found a new traversable wormhole solution in the framework of a bumblebee gravity model. With these types of models, the Lorentz symmetry violation arises from the dynamics of a bumblebee vector field that is non-minimally…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Ali Övgün , Kimet Jusufi , İzzet Sakallı

Bumblebee models are effective field theories describing a vector field with a nonzero vacuum expectation value that spontaneously breaks Lorentz invariance. They provide an alternative way of exploring the similarities between theories…

High Energy Physics - Theory · Physics 2017-05-17 C. A. Escobar , A. Martín-Ruiz

Astrophysical tests of Planck-suppressed Lorentz violations had been extensively studied in recent years and very stringent constraints have been obtained within the framework of effective field theory. There are however still some…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Silke Weinfurtner , Stefano Liberati , Matt Visser

We investigate theories of Nambu-Goldstone bosons where the spontaneously broken continuous symmetry is non-invertible. In such theories, the vacua generically parameterize an orbifold. We study in detail the simplest example of a single…

High Energy Physics - Theory · Physics 2024-05-28 Jeremias Aguilera Damia , Riccardo Argurio , Soumyadeep Chaudhuri