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It is known that in f(R) theories of gravity with an independent connection which can be both non-metric and non symmetric, this connection can always be algebraically eliminated in favour of the metric and the matter fields, so long as it…

General Relativity and Quantum Cosmology · Physics 2010-11-03 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

This paper collects several results in the study of the explicit symmetry-breaking limit of the effective-field theory (EFT) description of diffeomorphism and local Lorentz-symmetry breaking, where we generalize a subset of the EFT…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Quentin G. Bailey , Kellie O'Neal-Ault , Nils A. Nilsson

We study a perturbation theory for embedding gravity equations in a background for which corrections to the embedding function are linear with respect to corrections to the flat metric. The arbitrariness remaining after solving the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 S. S. Kuptsov , M. V. Ioffe , S. N. Manida , S. A. Paston

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

A modification of the harmonic superfield formalism in $D=4, N=2$ supergravity using a subsidiary condition of covariance under the background supersymmetry with a central charge ($B$-covariance) is considered. Conservation of analyticity…

High Energy Physics - Theory · Physics 2014-11-18 B. M. Zupnik

It is possible to provide a thermodynamic interpretation for the field equations in any diffeomorphism invariant theory of gravity. This insight, in turn, leads us to the possibility of deriving the gravitational field equations from…

General Relativity and Quantum Cosmology · Physics 2014-11-20 T. Padmanabhan

In an earlier paper [arXiv:1408.0484] gauge invariant and background covariant equations for closed string modes were obtained from the exact renormalization group equation of the world sheet theory. The background metric (but not the…

High Energy Physics - Theory · Physics 2015-08-06 B. Sathiapalan

The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of gravity with other gauge interactions.

General Relativity and Quantum Cosmology · Physics 2018-03-07 S. E. Samokhvalov , V. S. Vanyashin

A brief summary of some of the main consequences of spontaneous Lorentz violation in gravity is presented, including evasion of a no-go theorem, concomitant spontaneous diffeomorphism breaking, the appearance of massless Nambu-Goldstone…

High Energy Physics - Theory · Physics 2013-02-12 Robert Bluhm

One essence in capturing the history of primordial fluctuations that arise during inflation and eventually lead to formation of large scale structures in the universe, relies on quantizing general relativity coupled to a scalar field. This…

High Energy Physics - Theory · Physics 2018-07-24 Gizem Sengor

In this note, we describe how the study of backgrounds for general quantum systems can be formulated in terms of the representation theory of abstract $C^*$ algebras. We illustrate our general framework through two example systems:…

High Energy Physics - Theory · Physics 2026-01-15 Marc Klinger

The fundamental symmetries in gravity and gauge theories, formulated using differential forms, are gauge transformations and diffeomorphisms. These symmetries act in distinct ways on different dynamical fields. Yet, the commutator of these…

General Relativity and Quantum Cosmology · Physics 2025-07-01 O. Ramírez , Y. Bonder

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on…

General Relativity and Quantum Cosmology · Physics 2009-10-29 S. Bellucci , S. Capozziello , M. De Laurentis , V. Faraoni

Deviations from scale invariance resulting from small perturbations of a general two dimensional conformal field theory are studied. They are expressed in terms of beta functions for renormalization of general couplings under local change…

High Energy Physics - Theory · Physics 2009-10-22 A. Babichenko , S. Elitzur

Gravitational waves are thought to propagate unattenuated through matter due to a cancellation between graviton absorption and stimulated emission inferred from leading-order soft-graviton arguments. We revisit this reasoning and show that…

High Energy Physics - Phenomenology · Physics 2025-11-03 Wen-Yuan Ai , Sebastian A. R. Ellis , Josef Pradler

We study linear cosmological perturbations in the most general teleparallel gravity setting, where gravity is mediated by the torsion and nonmetricity of a flat connection alongside the metric. For a general linear perturbation of this…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Lavinia Heisenberg , Manuel Hohmann

Conformal symmetry can be spontaneously broken due to the presence of a defect or other background, which gives a symmetry-breaking vacuum expectation value (VEV) to some scalar operators. We study the effective field theory of fluctuations…

High Energy Physics - Theory · Physics 2023-04-05 Kurt Hinterbichler , Qiuyue Liang , Mark Trodden

This paper is dedicated to the study of interactions between stationary field sources for the linearized unimodular gravity or WTDIFF theory in a model which exhibits Lorentz symmetry breaking due to the presence of the linearized…

High Energy Physics - Theory · Physics 2019-02-05 L. H. C. Borges , D. Dalmazi

In the most general formulation of gravity, the metric and connection are independent degrees of freedom, and the connection may include torsion and non-metricity (or distortion, collectively) degrees of freedom, resulting in a huge number…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Kazunori Nakayama

We study the spontaneous breaking of diffeomorphism invariance using the proper-time non-perturbative flow equation in quantum gravity. In particular, we analyze the structure of the UV critical manifold of conformally reduced…

General Relativity and Quantum Cosmology · Physics 2024-10-14 G. Giacometti , A. Bonanno , S. Plumari , D. Zappalà
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