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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 general charge-conserving effective scalar field theory incorporating violations of Lorentz symmetry is presented. The dispersion relation is used to infer the effects of spin-independent Lorentz violation on point-particle motion. A…

High Energy Physics - Phenomenology · Physics 2019-05-29 Benjamin R. Edwards

In recent years, the breakdown of spacetime symmetries has been identified as a promising research field in the context of Planck-scale phenomenology. For example, various theoretical approaches to the quantum-gravity problem are known to…

High Energy Physics - Phenomenology · Physics 2009-10-08 Ralf Lehnert

We consider a Lorentz non-invariant dispersion relation for the neutrino, which would produce unexpected effects with neutrinos of few eV, exactly where the tritium beta-decay anomaly is found. We use this anomaly to put bounds on the…

High Energy Physics - Phenomenology · Physics 2012-03-15 J. M. Carmona , J. L. Cortes

Introducing constant background fields into the noncommutative gauge theory, we first obtain a Hermitian fermion Lagrangian which involves a Lorentz violation term, then we generalize it to a new deformed canonical noncommutation relations…

High Energy Physics - Phenomenology · Physics 2015-03-03 Cui-bai Luo , Feng-yao Hou , Zhu-fang Cui , Xiao-jun Liu , Hong-shi Zong

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 J. Alfaro , A. A. Andrianov , M. Cambiaso , P. Giacconi , R. Soldati

As a basic symmetry of Einstein's theory of special relativity, Lorentz invariance has withstood very strict tests. But there are still motivations for such tests. Firstly, many theories of quantum gravity suggest violations of Lorentz…

High Energy Astrophysical Phenomena · Physics 2022-10-06 Jun-Jie Wei

Motivated by ideas from quantum gravity, Lorentz invariance has undergone many stringent tests over the past decade and passed every one. Since there is no conclusive reason from quantum gravity that the symmetry \textit{must} be violated…

General Relativity and Quantum Cosmology · Physics 2008-02-13 David Mattingly

Analogue models of gravity have provided an experimentally realizable test field for our ideas on quantum field theory in curved spacetimes but they have also inspired the investigation of possible departures from exact Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Stefano Liberati

Quantum gravity arguments and the entropy bound for effective field theories proposed in PRL 82, 4971 (1999) lead to consider two correlated scales which parametrize departures from relativistic quantum field theory at low and high…

High Energy Physics - Theory · Physics 2012-03-15 J. M. Carmona , J. L. Cortes

One possible feature of quantum gravity may be the violation of Lorentz invariance. In this paper we consider one particular manifestation of the violation of Lorentz invariance, namely modified dispersion relations for massive neutrinos.…

Astrophysics · Physics 2009-11-13 Dean Morgan , Elizabeth Winstanley , Jurgen Brunner , Lee F. Thompson

The framework of relativistic quantum-field theories requires Lorentz Invariance. Many theories of quantum gravity, on the other hand, include violations of Lorentz Invariance at small scales and high energies. This generates a lot of…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Lukas Nellen

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

Recent observations of ultra high energy cosmic rays and gamma rays suggest that there are small violations of Lorentz symmetry. If there were no such violations, then the GZK cut off would hold and cosmic rays with energy $\sim 10^{20}eV$…

General Physics · Physics 2007-05-23 B. G. Sidharth

If quantum gravity violates Lorentz symmetry, the prospects for observational guidance in understanding quantum gravity improve considerably. This article briefly reviews previous work on Lorentz violation (LV) and discusses aspects of the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ted Jacobson , Stefano Liberati , David Mattingly

We present a brief review of selected topics in noncommutative field theories ranging from its revival in string theory, its influence on quantum field theories, its possible experimental signatures and ending with some applications in…

High Energy Physics - Theory · Physics 2015-05-27 Victor O. Rivelles

A non-vanishing vacuum expectation value for an antisymmetric tensor field leads to the violation of Lorentz invariance on the brane. This violation is controlled by the $\theta_{\mu \nu}$ parameter, which has a dimension of inverse mass…

High Energy Physics - Phenomenology · Physics 2009-10-31 Irina Mocioiu , Maxim Pospelov , Radu Roiban

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

Mathematical Physics · Physics 2011-04-14 Harald Grosse , Gandalf Lechner

Despite the tremendous empirical success of equivalence principle, there are several theoretical motivations for existence of a preferred reference frame (or aether) in a consistent theory of quantum gravity. However, if quantum gravity had…

High Energy Physics - Theory · Physics 2015-11-26 Niayesh Afshordi

Research during the last decade demonstrates that effects originating on the Planck scale are currently being tested in multiple observational contexts. In this review we discuss quantum gravity phenomenological models and their possible…

General Relativity and Quantum Cosmology · Physics 2012-12-14 Florian Girelli , Franz Hinterleitner , Seth A. Major