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Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

General Relativity and Quantum Cosmology · Physics 2016-01-05 Robert Bluhm

We consider an O(N) symmetric scalar field model in the mean field (Hartree) approximation and show that the symmetry can be broken in de Sitter space. We find that the phase transition can be of first order, and that its strength depends…

General Relativity and Quantum Cosmology · Physics 2013-04-02 Tomislav Prokopec

We construct effective field theories in which gravity is modified via spontaneous breaking of local Lorentz invariance. This is a gravitational analogue of the Higgs mechanism. These theories possess additional graviton modes and modified…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Gripaios

We consider cosmology in the Einstein-aether theory (the generally covariant theory of gravitation coupled to a dynamical timelike Lorentz-violating vector field) with a linear aether-Lagrangian. The 3+1 spacetime splitting approach is used…

Astrophysics · Physics 2008-11-26 Baojiu Li , David F. Mota , John D. Barrow

We argue that in an inflationary cosmology a consequence of the lack of time translational invariance is that spontaneous breaking of a continuous symmetry and Goldstone's theorem \emph{do not} imply the existence of \emph{massless}…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-12 Daniel Boyanovsky

The breakdown of spacetime symmetries has recently been identified as a promising candidate signal for underlying physics, possibly arising through quantum-gravitational effects. This talk gives an overview over various aspects of CPT- and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Lehnert

In the context of modified teleparallel gravity, we study the generation of primordial density fluctuations in a general scalar-torsion theory whose Lagrangian density is an arbitrary function $f(T,\phi)$ of the torsion scalar $T$ and a…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Manuel Gonzalez-Espinoza , Giovanni Otalora

A self consistent effective field theory of modified gravity has recently been proposed with spontaneous breaking of local Lorentz invariance. The symmetry is broken by a vector field with the wrong-sign mass term and it has been shown to…

Astrophysics · Physics 2008-11-26 P. G. Ferreira , B. M. Gripaios , R. Saffari , T. G. Zlosnik

In this paper, we provide a systematic investigation of high-order primordial perturbations with nonlinear dispersion relations due to quantum gravitational effects in the framework of {\em uniform asymptotic approximations}. Because of…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

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

Gravitational theories with fixed background fields break local Lorentz and diffeomorphism invariance either explicitly or spontaneously. In the case of explicit breaking it is known that conflicts can arise between the dynamics and…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Robert Bluhm

In this work, we review the effective field theory framework to search for Lorentz and CPT symmetry breaking during the propagation of gravitational waves. The article is written so as to bridge the gap between the theory of…

General Relativity and Quantum Cosmology · Physics 2021-10-26 Kellie O'Neal-Ault , Quentin G. Bailey , Tyann Dumerchat , Leila Haegel , Jay Tasson

We show that an interacting spin-0 field on a de Sitter space background will break the underlying de Sitter symmetry. This is done first for a (1+1) de Sitter space where a boson-fermion correspondence permits us to solve certain…

High Energy Physics - Theory · Physics 2011-05-13 Myron Bander

We study remaining Lorentz symmetry, i.e. Lorentz transformations which leave the noncommutativity parameter $\theta^{\mu\nu}$ invariant, within the approach of time-ordered perturbation theory (TOPT) to space-time noncommutative theories.…

High Energy Physics - Theory · Physics 2009-11-10 Tobias Reichenbach

In present paper the gravitational effect of spontaneous symmetry breaking vacuum energy density is investigated by subtracting the flat space-time contribution from the energy in the curved space-time. We found that the remain effective…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Kang Zhou , Rui-Hong Yue , Zhan-Ying Yang , De-Cheng Zou

We study the effect of gradual symmetry breaking in a non-integrable system on the level fluctuation statistics. We consider the case when the symmetry is represented by a quantum number that takes one of two possible values, so that the…

Chaotic Dynamics · Physics 2009-11-07 A. Abd El-Hady , A. Y. Abul-Magd , M. H. Simbel

We examine the basic conservation laws for diffeomorphism symmetry in the context of spontaneous diffeomorphism and local Lorentz-symmetry breaking. The conservation laws are used as constraints on a generic series of terms in an expansion…

General Relativity and Quantum Cosmology · Physics 2021-05-13 Quentin G. Bailey

The quantization of the massless minimally coupled (mmc) scalar field in de Sitter spacetime is known to be a non-trivial problem due to the appearance of strong infrared (IR) effects. In particular, the scale-invariance of the CMB…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Ahmed Youssef

Using an effective field theory approach to inflation, we examine novel properties of the spectrum of inflationary tensor fluctuations, that arise when breaking some of the symmetries or requirements usually imposed on the dynamics of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Dario Cannone , Gianmassimo Tasinato , David Wands