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The connection between $f(R)$ theories of gravity and scalar-tensor models with a "physical" metric coupled to the scalar field is well known. In this work, we pursue the equivalence between a suitable scalar theory and a model that…

General Relativity and Quantum Cosmology · Physics 2009-01-01 O. Bertolami , J. Páramos

In this Letter, we address the question of whether the conformal invariance can be considered as a global symmetry of a theory of fundamental interactions. To describe Nature, this theory must contain a mechanism of spontaneous breaking of…

High Energy Physics - Theory · Physics 2023-05-04 Mikhail Shaposhnikov , Anna Tokareva

First and second order corrections for the scattering of different types of particles by a weak gravitational field, treated as an external field, are calculated. These computations indicate a violation of the Equivalence Principle: to…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Ricardo Paszko

The equivalence principle, that is one of the main pillars of general relativity, is very well tested in the Solar system; however, its validity is more uncertain on cosmological scales, or when dark matter is concerned. This article shows…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-31 Camille Bonvin , Pierre Fleury

The response of four dimensional quantum field theories to a Weyl rescaling of the metric in the presence of local couplings and which involve $a$, the coefficient of the Euler density in the energy momentum tensor trace on curved space, is…

High Energy Physics - Theory · Physics 2015-02-10 I. Jack , H. Osborn

The weak equivalence principle of gravity is examined at the quantum level in two ways. First, the position detection probabilities of particles described by a non-Gaussian wave-packet projected upwards against gravity around the classical…

Quantum Physics · Physics 2011-12-30 P. Chowdhury , D. Home , A. S. Majumdar , S. V. Mousavi , M. R. Mozaffari , S. Sinha

We investigate the gravitational collapse of a massive scalar field in a conformally flat, spherically symmetric spacetime within general relativity. The collapsing matter distribution is modeled using a minimally coupled homogeneous scalar…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Mohamed Aarif A , Soumya Chakrabarti

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz…

General Relativity and Quantum Cosmology · Physics 2023-02-13 M. Gasperini

We explore how quantum gravity effects, manifested through the breaking of discrete symmetry responsible for both Dark Matter and Domain Walls, can have observational effects through CMB observations and gravitational waves. To illustrate…

High Energy Physics - Phenomenology · Physics 2023-11-22 Stephen F. King , Rishav Roshan , Xin Wang , Graham White , Masahito Yamazaki

Within the framework of symmetric teleparallel $f\left( Q\right) $-gravity for a connection defined in the non-coincidence gauge we derive the Wheeler-DeWitt equation of quantum cosmology. Because the gravitational field equation in…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Andronikos Paliathanasis

It is of general agreement that a quantum gravity theory will most probably mean a breakdown of the standard structure of space-time at the Planck scale. This has motivated the study of Planck-scale Lorentz Invariance Violating (LIV)…

High Energy Physics - Theory · Physics 2008-11-26 P. M. Crichigno , H. Vucetich

It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure Stueckelberg theory, this coupled Lagrangian has a genuine…

High Energy Physics - Theory · Physics 2016-11-07 Aradhya Shukla , Kumar Abhinav , Prasanta K. Panigrahi

We study the theory of Weyl conformal gravity with matter degrees of freedom in a conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO(3) non-abelian gauge fields, i.e. the Georgi-Glashow model…

High Energy Physics - Theory · Physics 2009-08-07 A. Edery , Luca Fabbri , M. B. Paranjape

We discuss here two of the questions posed at the beginning of the Bled 1998 workshop: Why is the weak charge dependent on handedness? Why do we have parity violation in the Standard Model? It is argued that the quarks and leptons must be…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. D. Froggatt , H. B. Nielsen

When a light scalar field with gravitational strength interacts with matter, the weak equivalence principle is in general violated, leading for instance to a violation of the universality of free fall. This has been known and tested for a…

General Relativity and Quantum Cosmology · Physics 2017-05-16 Olivier Minazzoli , Léo Bernus , Agnès Fienga , Aurélien Hees , Jacques Laskar , Vishnu Viswanathan

Effective theories of a scalar $\phi$ invariant under the internal \textit{galileon symmetry} $\phi\to\phi+b_\mu x^\mu$ have been extensively studied due to their special theoretical and phenomenological properties. In this paper, we…

High Energy Physics - Theory · Physics 2015-09-16 David Pirtskhalava , Luca Santoni , Enrico Trincherini , Filippo Vernizzi

In conformal field theory, the presence of a defect may break the global symmetry, giving rise to defect operators such as the tilts. In this work, we derive integral identities that relate correlation functions involving bulk and defect…

High Energy Physics - Theory · Physics 2025-12-16 Jake Belton , Ziwen Kong

The Standard-Model Extension provides a framework to systematically investigate possible violation of the Lorentz symmetry. Concerning gravity, the linearized version was extensively examined. We here cast the first set of experimental…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Lijing Shao , Quentin G. Bailey

The role of the Equivalence Principle (EP) in classical and quantum mechanics is reviewed. It is shown that the weak EP has a counterpart in quantum theory, a Quantum Equivalence Principle (QEP). This implies that also in the quantum domain…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Claus Lämmerzahl

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko
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