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Related papers: Gravity, Lorentz Violation, and the Standard Model

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We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alan Kostelecky , Robertus Potting

In gravity, breaking symmetry from a group G to a group H plays the role of describing geometry in relation to the geometry the homogeneous space G/H. The deep reason for this is Cartan's "method of equivalence," giving, in particular, an…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Derek K. Wise

One possible ramification of unified theories of nature such as string theory that may underlie the conventional standard model is the possible spontaneous breakdown of Lorentz and CPT symmetry. In this talk, the formalism for inclusion of…

High Energy Physics - Phenomenology · Physics 2011-04-15 Don Colladay

I present a brief review on the motivation for the study on Lorentz violation and on some of our studies with phenomenological analysis of Lorentz violation effects. I also discuss three effective field theory frameworks for Lorentz…

High Energy Physics - Phenomenology · Physics 2012-05-21 Bo-Qiang Ma

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

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly

This chapter of the proceedings for the Ninth Meeting on CPT and Lorentz Symmetry is dedicated to the Hamiltonian formulation of the minimal gravitational Standard-Model Extension. Some theoretical questions associated with the latter shall…

General Relativity and Quantum Cosmology · Physics 2023-01-31 M. Schreck

Lorentz invariance is one of the basic ingredients of quantum field theories and violations of it are stringently constrained experimentally. Therefore, the possibility of Lorentz violation (LV) is usually realized at very high energy…

High Energy Physics - Phenomenology · Physics 2021-05-17 Andreas Crivellin , Fiona Kirk , Marco Schreck

The one-loop divergences for the scalar field theory with Lorentz and/or CPT breaking terms are obtained in curved space-time. We analyze two separate cases: minimal coupled scalar field with gravity and nonminimal one. For the minimal case…

High Energy Physics - Theory · Physics 2018-04-04 Tibério de Paula Netto

We have performed a complete study of BPS vortex solutions in the Abelian sector of the standard model extension (SME). Specifically, we have coupled the SME electromagnetism with a Higgs field which is supplemented with a Lorentz-violating…

High Energy Physics - Theory · Physics 2014-10-27 R. Casana , G. Lazar

A main difficulty in the quantization of the gravitational field is the lack of experiments that discriminate among the theories proposed to quantize gravity. Recently we showed that the Standard Model(SM) itself contains tiny Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Jorge Alfaro

The locally supersymmetric extension of the most general gravity theory in three dimensions leading to first order field equations for the vielbein and the spin connection is constructed. Apart from the Einstein-Hilbert term with…

High Energy Physics - Theory · Physics 2008-11-26 Alex Giacomini , Ricardo Troncoso , Steven Willison

Spontaneous breaking of local Lorentz symmetry occurs when a local vector or tensor field acquires a nonzero vacuum expectation value. The effects of such breaking are examined in the context of gravity theory. These include an associated…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert Bluhm

The standard model extension (SME) is an effective field theory framework that can be used to study the possible violations of Lorentz symmetry and diffeomorphism invariance in the gravitational interaction. In this paper, we explore both…

General Relativity and Quantum Cosmology · Physics 2025-07-18 Qiang Wang , Jian-Ming Yan , Tao Zhu , Wen Zhao

Observations of energy-dependent photon time delays from distant flaring sources provide significant constraints on Lorentz Invariance Violation (LIV). Such effects originate from modified vacuum dispersion relations, causing differences in…

High Energy Astrophysical Phenomena · Physics 2025-08-06 Merce Guerrero , Anna Campoy-Ordaz , Robertus Potting , Markus Gaug

We have studied the effect of hypothetical violations of Lorentz and CPT symmetry by calculating the corrections to the energy levels of hydrogen induced by the Standard-Model Extension (SME). Hydrogen studies are interesting because the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gregory S. Adkins , Theodore J. Yoder

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

This paper is devoted to the study of interactions between stationary electromagnetic sources for the minimal and nonminimal CPT-odd photon sector of the Standard Model Extension (SME), where we search mainly for physical phenomena not…

High Energy Physics - Theory · Physics 2022-03-01 L. H. C. Borges , A. F. Ferrari

The pure-gravity sector of the minimal Standard-Model Extension is studied in the limit of Riemann spacetime. A method is developed to extract the modified Einstein field equations in the limit of small metric fluctuations about the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Quentin G. Bailey , Alan Kostelecky

Lorentz invariance is a fundamental symmetry of spacetime underpinning the Standard Model (SM) and our understanding of high-energy phenomena in particle physics. However, beyond the quantum gravity scale, we expect the SM to be replaced…

High Energy Physics - Phenomenology · Physics 2023-02-20 Barbara Skrzypek , Carlos A. Argüelles