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Diffeomorphisms and an internal symmetry (e.g., local Lorentz invariance) are typically regarded as the symmetries of any geometrical gravity theory, including general relativity. In the first-order formalism, diffeomorphisms can be thought…

General Relativity and Quantum Cosmology · Physics 2019-01-29 Cristóbal Corral , Yuri Bonder

We modify the scalar Einstein-aether theory by breaking the Lorentz invariance of a gravitational theory coupled to a Galileon type scalar field. This is done by introducing a Lagrange multiplier term into the action, thus ensuring that the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

We generalize the standard model of particle physics such it displays global scale invariance. The gravitational action is also suitably modified such that it respects this symmetry. This model is interesting since the cosmological constant…

Astrophysics · Physics 2009-06-23 Pankaj Jain , Subhadip Mitra , Naveen K. Singh

We investigate the inflationary implications of extensions of Poincare symmetry. The simplest constructions with local scale invariance lead to universal predictions: the spectral index is $n_s = 1-2/N$, in excellent agreement with Planck…

High Energy Physics - Theory · Physics 2015-07-15 Mehmet Ozkan , Diederik Roest

We consider a generic scale invariant scalar quantum field theory and its symmetry breakdown. Based on the dimension counting identity, we give a concise proof that dilaton is exactly massless at the classical level if scale invariance is…

High Energy Physics - Theory · Physics 2021-11-01 Ichiro Oda

Quantum gravitational effects in loop quantum cosmology lead to a resolution of the initial singularity and have the potential to solve the horizon problem and generate a quasi scale-invariant spectrum of density fluctuations. We consider…

Astrophysics · Physics 2008-11-26 Joao Magueijo , Parampreet Singh

We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant…

High Energy Physics - Theory · Physics 2025-08-12 Mark Van Raamsdonk , Rana Zibakhsh

It is shown that a unitary translationally invariant field theory in (1+1) dimensions satisfying isotropic scale invariance, standard assumptions about the spectrum of states and operators and the requirement that signals propagate with…

High Energy Physics - Theory · Physics 2014-06-25 Sergey Sibiryakov

We extend the cohomological analysis in arXiv:1410.5831 of anisotropic Lifshitz scale anomalies. We consider non-relativistic theories with a dynamical critical exponent $z=2$ with or without non-relativistic boosts and a particle number…

High Energy Physics - Theory · Physics 2017-06-15 Igal Arav , Shira Chapman , Yaron Oz

Scale invariance supplemented by the requirement of the absence of new heavy particles may play an important role in addressing the hierarchy problem. We discuss how the Standard Model may become scale invariant at the quantum level above a…

High Energy Physics - Phenomenology · Physics 2019-06-14 Mikhail Shaposhnikov , Kengo Shimada

Demanding the existence of a simple holographic $c$-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory.…

High Energy Physics - Theory · Physics 2015-03-13 Aninda Sinha

Certain versions of mimetic gravity have recently been claimed to present potential covariant theories of canonically modified spherically symmetric gravity, motivated by ingredients from loop quantum gravity. If such an equivalence were to…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Martin Bojowald , Erick I. Duque

We generalise Einstein's formulation of the traceless Einstein equations to $f(R)$ gravity theories. In the case of the vacuum traceless Einstein equations, we show that a non-constant Weyl tensor leads via a conformal transformation to a…

General Relativity and Quantum Cosmology · Physics 2020-09-15 John D. Barrow , Spiros Cotsakis

A new scalar-tensor theory of gravity induced by dynamically broken scale invariance is proposed, and its cosmological implications are discussed. It is found that the model admits an inflation via the Hawking-Moss bubbling, but the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Giampiero Esposito , Cosimo Stornaiolo

The incorporation of a small cosmological constant within radiatively-broken scale-invariant models is discussed. We show that phenomenologically consistent scale-invariant models can be constructed which allow a small positive cosmological…

High Energy Physics - Phenomenology · Physics 2015-05-20 Robert Foot , Archil Kobakhidze , Raymond R. Volkas

Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those…

High Energy Physics - Theory · Physics 2011-01-24 Enrique Álvarez , Roberto Vidal

The effective evolution of an inhomogeneous universe model in Einstein's theory of gravitation may be described in terms of spatially averaged scalar variables. This evolution can be modeled by solutions of a set of Friedmann equations for…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Thomas Buchert

General Relativity (GR) is a phenomenologically successful theory that rests on firm foundations, but has not been tested on cosmological scales. The advent of dark energy (and possibly even the requirement of cold dark matter), has…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Constantinos Skordis

General relativity manifests very similar equations in different regimes, notably in large scale cosmological perturbation theory, non-linear cosmological structure formation, and in weak field galactic dynamics. The same is not necessarily…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-14 Daniel B Thomas , Ali Mozaffari , Tom Zlosnik
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