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We consider a pure SU(2) gauge theory, and make an ansatz for the gauge field, which is gauge-invariant but manifestly non-Lorentz invariant. In a limit case of the ansatz, corresponding to a vacuum solution, the SU(2) gauge field reduces…

Quantum Physics · Physics 2011-04-04 Paola Zizzi , Eliano Pessa

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

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

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

It is well known that a theory with explicit Lorentz violation is not invariant under diffeomorphisms. On the other hand, for geometrical theories of gravity, there are alternative transformations, which can be best defined within the…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Yuri Bonder , Cristóbal Corral

Recently Horava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. But there have been confusions regarding the extra scalar graviton mode and the consistency of the Horava model. I…

High Energy Physics - Theory · Physics 2010-12-17 Mu-in Park

In conventional gravitational physics, the so-called "bootstrap procedure" can be used to extrapolate from a linear model of a rank-2 tensor to a full non-linear theory of gravity (i.e., general relativity) via a coupling to the…

General Relativity and Quantum Cosmology · Physics 2020-04-08 Michael D Seifert

We construct a well-defined lattice-regularized quantum theory formulated in terms of fundamental fermion and gauge fields, the same type of degrees of freedom as in the Standard Model. The theory is explicitly invariant under local Lorentz…

High Energy Physics - Theory · Physics 2013-05-30 Alexey A. Vladimirov , Dmitri Diakonov

The gravitational couplings of matter are studied in the presence of Lorentz and CPT violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum hamiltonian is derived from the gravitationally coupled…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Alan Kostelecky , Jay Tasson

We present a review of the Semi-Symmetric Metric Gravity (SSMG) theory, representing a geometric extension of standard general relativity, based on a connection introduced by Friedmann and Schouten in 1924. The semi-symmetric connection is…

General Relativity and Quantum Cosmology · Physics 2024-11-06 Himanshu Chaudhary , Lehel Csillag , Tiberiu Harko

While general relativity possesses local Lorentz invariance, both canonical quantum gravity and string theory suggest that Lorentz invariance may be broken at high energies. Broken Lorentz invariance has also been postulated as an…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Mattingly , Ted Jacobson

Lorentz gauge theory (LGT) is a feasible candidate for theory of quantum gravity in which routine field theory calculations can be carried out perturbatively without encountering too many divergences. In LGT spin of matter also gravitates.…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Ahmad Borzou , Gerald Cleaver , Behrouz Mirza

Searches for Lorentz invariance violation (LIV) in the neutrino sector have traditionally focused on non-standard neutrino oscillations induced by LIV in vacuum. In this work, however, we study anisotropic LIV in matter. First, we review…

High Energy Physics - Phenomenology · Physics 2026-02-10 Simon Hilding-Nørkjær , Johann Ioannou-Nikolaides , D. Jason Koskinen , Thomas Stuttard

We explore the paradigm of pre-geometric gravity, where spacetime geometry and the gravitational field are not fundamental but emerge from the spontaneous symmetry breaking (SSB) of a larger gauge symmetry. Specifically, we consider a gauge…

General Physics · Physics 2025-12-25 Andrea Addazi

General violations of Lorentz symmetry can be described by the Standard-Model Extension (SME) framework. The SME predicts modifications to existing physics and can be tested in high-precision experiments. By looking for small deviations…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Rui Xu

Conformal invariance is spontaneously broken in many physical systems leading to the appearance of a single massless Goldstone mode in the spectrum, the dilaton. The dilaton soft limit is shown to generically encode the action of both the…

High Energy Physics - Theory · Physics 2015-07-31 Rutger H. Boels , Wadim Wormsbecher

We study a non-linear modification to General Relativity in which the standard Einstein-Hilbert action is replaced by a Born-Infeld type action. Also study us stability issues to judge about viability of this modification. We establish the…

General Physics · Physics 2012-11-06 Dagoberto Escobar

We introduce an $N=1$ supergravity model based on the gauged shift symmetry of a single chiral multiplet, which can be identified with the string dilaton or a compactification modulus. The model allows for a tunably small and positive value…

High Energy Physics - Phenomenology · Physics 2016-09-01 Rob Knoops

In this letter, we investigate the effects of Lorentz symmetry violation on a relativistic neutral scalar boson within the framework of the Klein-Gordon formalism. We consider a tensor $(K_F)_{\mu \nu \alpha \beta}$ out of the Standard…

High Energy Physics - Theory · Physics 2025-02-19 Luis B. Castro , Antonio S. de Castro

Ho\v{r}ava gravity at a Lifshitz point is a theory intended to quantize gravity by using techniques of traditional quantum field theories. To avoid Ostrogradsky's ghosts, a problem that has been plaguing quantization of general relativity…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Anzhong Wang
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