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Gravitational theories with fixed background fields break diffeomorphism invariance. This breaking can be spontaneous or explicit. A brief summary of the main consequences of these types of breaking is presented.

General Relativity and Quantum Cosmology · Physics 2016-07-27 R. Bluhm

The striking success of the Standard Model in explaining precision data and, at the same time, its lack of explanations for various fundamental phenomena, such as dark matter or the baryon asymmetry of the universe, suggests new physics at…

High Energy Physics - Phenomenology · Physics 2025-04-23 Gino Isidori , Felix Wilsch , Daniel Wyler

A brief introduction to the Standard-Model Extension (SME) approach to testing CPT and Lorentz symmetry is provided. Recent proposals for tests with antimatter are summarized, including gravitational and spectroscopic tests.

High Energy Physics - Phenomenology · Physics 2017-08-11 Jay D. Tasson

The Standard Model Effective Field Theory (SMEFT) provides a consistent framework for comparing precision measurements at the LHC to the Standard Model. The observation of statistically significant non-zero SMEFT coefficients would…

High Energy Physics - Phenomenology · Physics 2021-04-27 Sally Dawson , Samuel Homiller , Samuel D. Lane

We present a 3+1 formulation of the effective field theory framework called the Standard-Model Extension in the gravitational sector. The explicit local Lorentz and diffeomorphism symmetry breaking assumption is adopted and we perform a…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Kellie O'Neal-Ault , Quentin G. Bailey , Nils A. Nilsson

Diffeomorphism invariance breaking has been investigated in the literature in several contexts, including emergent General Relativity (GR). If GR emerges from an underlying theory without diffeomorphism invariance, there may be small…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ufuk Aydemir , Mahmut Elbistan

Modifications to the classic time-delay effect and Doppler shift in General Relativity (GR) are studied in the context of the Lorentz-violating Standard-Model Extension (SME). We derive the leading Lorentz-violating corrections to the…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Quentin G. Bailey

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Alan Kostelecky , Zonghao Li

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

The Standard Model Extension (SME) is a generic parametrization for Lorentz violation and the phenomenological consequences of the minimal gravity sector of the SME are usually studied using a post-Newtonian expansion that requires…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Yuri Bonder , Christian Peterson

The Standard-Model Extension (SME) provides a theoretical framework for tests of Lorentz invariance. To date, most studies have focused on the minimal SME, which restricts attention to operators of renormalizable dimension. Here, we review…

High Energy Physics - Phenomenology · Physics 2017-08-23 Matthew Mewes

Some bouncing models are investigated in the framework of an extended theory of gravity. The extended gravity model is a simple extension of the General Relativity where an additional matter geometry coupling is introduced to account for…

General Relativity and Quantum Cosmology · Physics 2021-06-10 S K Tripathy , B Mishra , Saibal Ray , Rikpratik Sengupta

In this thesis we study some theoretical and phenomenological aspects of classical conformal symmetry in specific extensions of the SM. We consider both supersymmetric and non supersymmetric cases. We discuss the perturbative structure of…

High Energy Physics - Phenomenology · Physics 2017-04-12 Antonio Costantini

Lorentz symmetry is one of the pillars of both General Relativity and the Standard Model of particle physics. Motivated by ideas about quantum gravity, unification theories and violations of CPT symmetry, a significant effort has been put…

General Relativity and Quantum Cosmology · Physics 2016-12-02 Aurélien Hees , Quentin G. Bailey , Adrien Bourgoin , Hélène Pihan-Le Bars , Christine Guerlin , Christophe Le Poncin-Lafitte

Open effective field theories provide a systematic framework for describing systems coupled to an environment, where dissipation, noise, and modified conservation laws naturally arise. Working within the Schwinger-Keldysh formalism, we…

High Energy Physics - Theory · Physics 2026-01-05 Perseas Christodoulidis

The status of a modification of General Relativity (GR) -- Spontaneously Broken Relativity (SBR) -- for merging gravity, dark energy (DE) and dark matter (DM) is presented. The modification is principally grounded on a multiscalar-metric…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Yu. F. Pirogov , O. V. Zenin

We discuss two distinct realizations of the diffeomorphism group for metric gravity, which give rise to theories that are classically equivalent, but quantum mechanically distinct. We renormalize them in $d=2+\epsilon$ dimensions,…

High Energy Physics - Theory · Physics 2021-11-03 Riccardo Martini , Alessandro Ugolotti , Francesco Del Porro , Omar Zanusso

Lorentz violation is a candidate quantum-gravity signal, and the Standard-Model Extension (SME) is a widely used parametrization of such a violation. In the gravitational SME sector, there is an elusive coefficient for which no effects have…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Yuri Bonder

We discuss how a matrix model recently shown to describe emergent gravity may contain extra degrees of freedom which reproduce some characteristics of the standard model, in particular the breaking of symmetries and the correct quantum…

High Energy Physics - Theory · Physics 2010-01-18 Harald Grosse , Fedele Lizzi , Harold Steinacker

We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Gustavo P. de Brito , Oleg Melichev , Roberto Percacci , Antonio D. Pereira