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A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Ahmet Baykal , Tekin Dereli

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement. Beginning with a fully gauge…

General Relativity and Quantum Cosmology · Physics 2015-03-17 A. Garrett Lisi , Lee Smolin , Simone Speziale

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

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas P. Sotiriou

In an on-shell conformal field theory approach, we find indications of a three-bracket structure for target space coordinates in general closed string backgrounds. This generalizes the appearance of noncommutative gauge theories for open…

High Energy Physics - Theory · Physics 2015-03-17 Ralph Blumenhagen , Erik Plauschinn

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in…

High Energy Physics - Theory · Physics 2022-09-07 Carlos M. Reyes , Marco Schreck

We consider how the principles of causality and equivalence restrict the background in which matter field theories are defined; those constraints develop in restrictions for these matter field theories: the simplest matter field theory…

General Relativity and Quantum Cosmology · Physics 2012-06-20 Luca Fabbri

This contribution investigates modifications of General Relativity that allow or mimic energy nonconservation. We focus on Unimodular Gravity (UG), a theory that explicitly breaks diffeomorphism invariance, and show that it can lead to…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Yuri Bonder , Johas D. Morales

We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the…

High Energy Physics - Theory · Physics 2009-10-28 Kostas Skenderis

Gravitation theory is formulated as gauge theory on natural bundles with spontaneous symmetry breaking where gauge symmetries are general covariant transformations, gauge fields are general linear connections, and Higgs fields are…

Mathematical Physics · Physics 2016-06-29 G. Sardanashvily

Paying attention to conformal invariance as the invariance under local transformations of units of measure, we take a conformal invariant quantum field as a quantum matter theory in which one has the freedom to choose the values of units of…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Nadereh Namavarian

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this…

General Relativity and Quantum Cosmology · Physics 2016-05-18 M. Chaichian , A. Ghalee , J. Kluson

We consider the role of the diffeomorphism constraint in the quantization of lattice formulations of diffeomorphism invariant theories of connections. It has been argued that in working with abstract lattices, one automatically takes care…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alejandro Corichi , Jose A. Zapata

We study the non-linear background field redefinitions arising at the quantum level in a spontaneously broken effective gauge field theory. The non-linear field redefinitions are crucial for the symmetric (i.e. fulfilling all the relevant…

High Energy Physics - Theory · Physics 2021-09-28 Andrea Quadri

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

Intuitively speaking, a classical field theory is background-independent if the structure required to make sense of its equations is itself subject to dynamical evolution, rather than being imposed ab initio. The aim of this paper is to…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Gordon Belot

Theories with gauge-mediated supersymmetry breaking provide an interesting alternative to the scenario in which the soft terms of the low-energy fields are induced by gravity. These theories allow for a natural suppression of flavour…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. F. Giudice , R. Rattazzi

Scalar fields describe interesting phenomena such as Higgs bosons, dark matter and dark energy, and are found to be quite common in physical theories. These fields are susceptible to gravitational forces so that being massless is not enough…

General Physics · Physics 2016-02-18 M. T. Ozaydin , N. Pirinccioglu

Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories…

High Energy Physics - Theory · Physics 2007-05-23 Abhay Ashtekar , Jerzy Lewandowski
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