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The study of topological defects occurring in vector and tensor fields is an intriguing subject and little explored in the literature. In this article, we analyze the topological defects arising from the spontaneous violation of Lorentz…

High Energy Physics - Theory · Physics 2025-10-16 L. P. Colatto , A. L. A. Penna , W. C. Santos

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

Frohlich, Morchio and Strocchi long ago proved that Lorentz invariance is spontaneously broken in QED because of infrared effects. We develop a simple model where consequences of this breakdown can be explicitly and easily calculated. For…

High Energy Physics - Theory · Physics 2013-10-18 A. P. Balachandran , S. Vaidya

In this work, we study the spontaneous Lorentz symmetry breaking due to an antisymmetric 2-tensor field in Minkowski spacetime. For a smooth quadratic potential, the spectrum of the theory exhibits massless and massive excitations. We show…

High Energy Physics - Theory · Physics 2019-01-14 R. V. Maluf , A. A. Araujo Filho , W. T. Cruz , C. A. S. Almeida

Lorentz Invariance violation is a common feature of new physics beyond the standard model. We show that the symmetry of Randers spaces deduces a modified dispersion relation with characteristics of Lorentz Invariance violation. The…

High Energy Physics - Theory · Physics 2008-04-07 Zhe Chang , Xin Li

We construct effective field theories in which gravity is modified via spontaneous breaking of local Lorentz invariance. This is a gravitational analogue of the Higgs mechanism. These theories possess additional graviton modes and modified…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Gripaios

A model of spontaneous Lorentz violation in four dimension is given, which seems to provide a Lorentz invariant effective theory. An SU(2) Yang-Mills gauge field and an auxiliary U(1) vector field generate gravity and other interactions…

General Physics · Physics 2021-03-31 Kimihide Nishimura

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field is constrained to be unity and time like. By…

High Energy Physics - Theory · Physics 2009-06-10 Arianto , Freddy P. Zen , Bobby E. Gunara , Triyanta , Supardi

Working in the context of a Lorentz-violating extension of the standard model we show that estimates of Lorentz symmetry violation extracted from ultra-high energy cosmic rays beyond the Greisen-Kuzmin-Zatsepin (GZK) cutoff allow for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 O. Bertolami , C. S. Carvalho

The focus of this article is on a modification of General Relativity (GR) governed by a dynamical scalar field. The latter is able to acquire a nonzero spacetime-dependent vacuum expectation value, which gives rise to a spontaneous…

General Relativity and Quantum Cosmology · Physics 2024-07-31 João Victor V. Santos , Marco Schreck

We consider here the possibility of quantum gravity induced violation of Lorentz symmetry (LV). Even if suppressed by the inverse Planck mass such LV can be tested by current experiments and astrophysical observations. We review the…

Astrophysics · Physics 2008-11-26 Ted Jacobson , Stefano Liberati , David Mattingly

We propose that local Lorentz invariance is spontaneously violated at high energies, due to a nonvanishing vacuum expectation value of a vector field \phi^\mu, as a possible explanation of the observation of ultra-high energy cosmic rays…

High Energy Physics - Theory · Physics 2009-11-07 J. W. Moffat

We investigate the possibility of obtaining traversable wormholes supported by phantom scalar fields in Lorentz-violating gravity with an antisymmetric rank-2 tensor with a non-zero vacuum expectation value non-minimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Renan B. Magalhães , Leandro A. Lessa , Manoel M. Ferreira

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

We study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Dubovsky , S. M. Sibiryakov

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 consider the lightlike spontaneous Lorentz invariance violation (SLIV) appearing through the zero "length-fixing" constraint put on a gauge vector field, $A_{\mu }A^{\mu }=0$, and discuss its physical consequences in the framework of a…

High Energy Physics - Phenomenology · Physics 2020-07-22 J. L. Chkareuli , Z. Kepuladze

We show that estimates of the Lorentz symmetry violation extracted from ultra-high energy cosmic rays beyond the GZK cut-off set bounds on the parameters of a Lorentz-violating extension of the Standard Model. Moreover, we argue that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 O. Bertolami

We show that locally Lorentz invariant, third order, topological massive gravity can not be broken down neither to the local diffeomorphism subgroup nor to the rigid Poincar\'e group. On the other hand, the recently formulated, locally…

High Energy Physics - Theory · Physics 2014-11-18 C. Aragone , P. J. Arias , A. Khoudeir

The influence of a Lorentz-violation on soliton solutions generated by a system of two coupled scalar fields is investigated. Lorentz violation is induced by a fixed tensor coefficient that couples the two fields. The Bogomol'nyi method is…

High Energy Physics - Theory · Physics 2010-11-12 D. Bazeia , M. M. Ferreira , A. R. Gomes , R. Menezes
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