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Lorentz invariance is the fundamental symmetry of Einstein's theory of special relativity, and has been tested to great level of detail. However, theories of quantum gravity at the Planck scale indicate that Lorentz symmetry may be broken…

High Energy Astrophysical Phenomena · Physics 2017-05-03 Fabian Kislat , Henric Krawczynski

Asymptotic single-particle states in quantum field theories with small departures from Lorentz symmetry are investigated perturbatively with focus on potential phenomenological ramifications. To this end, one-loop radiative corrections for…

High Energy Physics - Theory · Physics 2014-09-10 Mauro Cambiaso , Ralf Lehnert , Robertus Potting

All quantum gravity approaches lead to small modifications in the standard laws of physics which lead to violations of Lorentz invariance. One particular example is the extended standard model (SME). Here, a general phenomenological…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Claus Laemmerzahl , Alfredo Macias , Holger Mueller

Physics beyond the Fermi scale could show up through deviations of the gauge couplings predicted by the electroweak Yang-Mills sector. This possibility is explored in the context of the International Linear Collider (ILC) through the…

High Energy Physics - Phenomenology · Physics 2015-06-16 J. I. Aranda , F. Ramirez-Zavaleta , D. A. Rosete , F. J. Tlachino , J. J. Toscano , E. S. Tututi

We produce an explicit formula for the dispersion relation for the Dirac Equation in the Standard Model Extension (SME) in the presence of Lorentz violation. Our expression is obtained using a novel techniques which exploit the algebra of…

High Energy Physics - Phenomenology · Physics 2015-05-18 Don Colladay , Patrick McDonald , David Mullins

While Lorentz invariance, the fundamental symmetry of Einstein's theory of General Relativity, has been tested to a great level of detail, Grand Unified Theories that combine gravity with the other three fundamental forces may result in a…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Fabian Kislat , Henric Krawczynski

The theoretical description of fermions in the presence of Lorentz and CPT violation is developed. We classify all Lorentz- and CPT-violating and invariant terms in the quadratic Lagrange density for a Dirac fermion, including operators of…

High Energy Physics - Phenomenology · Physics 2015-06-17 Alan Kostelecky , Matthew Mewes

We investigate the electromagnetic dynamics of spin-nondegenerate classical particle models arising from Lorentz-violating sectors of the Standard-Model Extension, focusing on the $b_\mu$ background. Starting from the type-2 relativistic…

General Physics · Physics 2026-04-07 A. A. Araújo Filho , A. F. Santos , J. A. A. S. Reis , L. Lisboa-Santos , V. B. Bezerra

In this work, we study the modified Dirac equation in the framework of very special relativity (VSR). The low-energy regime is accessed and the nonrelativistic Hamiltonian is obtained. It turns out that this Hamiltonian is similar to that…

High Energy Physics - Theory · Physics 2014-10-22 R. V. Maluf , J. E. G. Silva , W. T. Cruz , C. A. S. Almeida

Violations of spacetime symmetries have recently been identified as promising signatures for physics underlying the Standard Model. The present talk gives an overview over various topics in this field: The motivations for spacetime-symmetry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ralf Lehnert

The well-known analogy between a special limit of General Relativity and electromagnetism is explored in the context of the Lorentz-violating Standard-Model Extension (SME). An analogy is developed for the minimal SME that connects a limit…

General Relativity and Quantum Cosmology · Physics 2012-02-07 Quentin G. Bailey

The Standard Model extension with additional Lorentz violating terms allows for redefining the equation of motion of a propagating left-handed fermionic particle. The obtained Dirac-type equation can be embedded in a generalized…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alex E. Bernardini , O. Bertolami

The Standard-Model Extension (SME) is an effective-field-theoretic framework that catalogs all Lorentz-violating field operators. The anisotropic correction from the minimal gravitational SME to Newtonian gravitational energy for spheroids…

General Relativity and Quantum Cosmology · Physics 2021-04-20 Rui Xu , Yong Gao , Lijing Shao

In this article we investigate whether a theory based on a classical Lagrangian for the minimal Standard-Model Extension (SME) can be quantized such that the result is equal to the corresponding low-energy Hamilton operator obtained from…

High Energy Physics - Theory · Physics 2016-07-20 Marco Schreck

In the last decade, a variety of high-precision experiments have searched for miniscule violations of Lorentz symmetry. These searches are largely motivated by the possibility of uncovering experimental signatures from a fundamental unified…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Quentin G. Bailey

In the current paper the Lagrangian of a classical, relativistic point particle is obtained whose conjugate momentum satisfies the dispersion relation of a quantum wave packet that is subject to Lorentz violation based on a particular…

High Energy Physics - Theory · Physics 2015-05-12 M. Schreck

The Standard-Model Extension, or SME, is a general framework for the study of Lorentz violation in physics. A broad variety of experiments is able to access the SME coefficient space. This proceedings briefly summarizes theory and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Neil Russell

The Standard-Model Extension (SME) is an action-based expansion describing general Lorentz violation for known matter and fields, including gravity. In this talk, I will discuss the Lorentz-violating gravity couplings in the SME. Toy models…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Quentin G. Bailey

In this work, we propose a CPT-even and Lorentz-violating dimension-five nonminimal coupling between fermionic and gauge fields, involving the CTP-even and Lorentz-violating gauge tensor of the SME. This nonminimal coupling modifies the…

High Energy Physics - Theory · Physics 2013-04-29 R. Casana , M. M. Ferreira , E. O. Silva , E. Passos , F. E. P. dos Santos

The Standard-Model Extension (SME) provides a comprehensive effective field-theory framework for the study of CPT and Lorentz symmetry. This work reviews the structure and philosophy of the SME and provides some intuitive examples of…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Jay D. Tasson