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In this paper, we examine the physical consequences of a recently introduced black hole solution in bumblebee gravity [1]. The geometry is first presented and then reformulated through suitable coordinate adjustments, which make its global…

General Relativity and Quantum Cosmology · Physics 2026-04-02 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , V. B. Bezerra

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

We investigate vector perturbations with holonomy corrections in the framework of loop quantum cosmology. Conditions to achieve anomaly freedom for these perturbations are found at all orders. This requires the introduction of counter-terms…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Jakub Mielczarek , Thomas Cailleteau , Aurelien Barrau , Julien Grain

In a class of renormalizable three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field $B$. The true ground state resembles that of the quantum Hall effect. An…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

Bumblebee models, a class of vector-tensor theories in which a vector field acquires a nonzero vacuum expectation value that spontaneously breaks spacetime symmetries, are ubiquitous in the literature. By constructing the most general…

High Energy Physics - Theory · Physics 2026-02-05 Carsten van de Bruck , Mohammad Ali Gorji , Nils A. Nilsson , Masroor C. Pookkillath , Masahide Yamaguchi

First, we develop the counting rule for Nambu-Goldstone bosons to the system including two-time derivative terms. In this case, the type-II Nambu-Goldstone bosons may appear along with the massive Nambu-Goldstone ones. The number of the…

High Energy Physics - Theory · Physics 2015-06-19 Shinya Gongyo , Shintaro Karasawa

The spontaneous breakdown of 4-dimensional Lorentz invariance in the framework of QED with the nonlinear vector potential constraint A_{\mu}^{2}=M^{2}(where M is a proposed scale of the Lorentz violation) is shown to manifest itself only as…

High Energy Physics - Theory · Physics 2008-11-26 A. T. Azatov , J. L. Chkareuli

The Standard Model Extension (SME) provides the most general observer-independent field theoretical framework for investigations of Lorentz violation. The SME lagrangian by definition contains all Lorentz-violating interaction terms that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Robert Bluhm

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

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

Stability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a massive fermion reveal that no…

High Energy Physics - Theory · Physics 2008-11-26 Alan Kostelecky , Ralf Lehnert

We show that a momentum operator of a translational symmetry may not commute with an internal symmetry operator in the presence of a topological soliton in non-relativistic theories. As a striking consequence, there appears a coupled…

High Energy Physics - Theory · Physics 2014-09-24 Michikazu Kobayashi , Muneto Nitta

Spacetime nonmetricity can be studied experimentally through its couplings to fermions and photons. We use recent high-precision searches for Lorentz violation to deduce first constraints involving the 40 independent nonmetricity components…

General Relativity and Quantum Cosmology · Physics 2017-04-24 Joshua Foster , Alan Kostelecky , Rui Xu

We investigate quantum information and thermodynamic properties of a new bumblebee black hole arising from spontaneous Lorentz symmetry breaking by analyzing near-horizon physics through complementary quantum probes. We study the…

General Relativity and Quantum Cosmology · Physics 2025-12-22 A. A. Araújo Filho , Wentao Liu

In a class of three-dimensional abelian gauge theory the Lorentz invariance is spontaneously broken by dynamical generation of a magnetic field. An originally topologically massive photon becomes gapless, i.e. p_0=0 at {\vec p}=0. Indeed,…

High Energy Physics - Theory · Physics 2007-05-23 Yutaka Hosotani

A self-contained method of obtaining effective theories resulting from the spontaneous breakdown of conformal invariance is developed. It allows to demonstrate that the Nambu-Goldstone fields for special conformal transformations always…

High Energy Physics - Theory · Physics 2019-04-23 I. Kharuk

We study the spontaneous Lorentz symmetry breaking in a field theoretical model in (2+1)-dimension, inspired by string theory. This model is a gauge theory of an anti-symmetric tensor field and a vector field (photon). The Nambu-Goldstone…

High Energy Physics - Theory · Physics 2009-11-07 Kiyoshi Higashijima , Naoto Yokoi

This work explores various manifestations of bumblebee gravity within the metric-affine formalism. We investigate the impact of the Lorentz violation parameter, denoted as $X$, on the modification of the Hawking temperature. Our…

General Relativity and Quantum Cosmology · Physics 2024-02-01 A. A. Araújo Filho , H. Hassanabadi , N. Heidari , J. Kríz , S. Zare

We study numerically the spatial dynamics of light in periodic square lattices in the presence of a Kerr term, emphasizing the peculiarities stemming from the nonlinearity. We find that, under rather general circumstances, the phase pattern…

We provide a set of theoretical constraints on models in which the Standard Model field content is extended by vector-like fermions and in some cases also by a real scalar singlet. Our approach is based on the study of electroweak vacuum…

High Energy Physics - Phenomenology · Physics 2024-10-08 Amit Adhikary , Marek Olechowski , Janusz Rosiek , Michal Ryczkowski