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We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the…

High Energy Physics - Theory · Physics 2022-12-14 Clay Cordova , Kantaro Ohmori , Tom Rudelius

We show that regularizing divergent integrals is crucially important when applied to the loop diagrams corresponding to quantum corrections to the coupling of the ``gravitational" scalar field due to the interaction among matter fields. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yasunori Fujii

The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of particles incident on a shutter which is removed at time $t =…

Quantum Physics · Physics 2022-07-12 Juan A. Cañas , J. Bernal , A. Martín-Ruiz

We investigate the non-relativistic limit of the Klein--Gordon equation for mixed scalar particles and show that, in this regime, one unavoidably arrives at redefining the particle's inertial mass. This happens because, in contrast to the…

High Energy Physics - Theory · Physics 2023-05-16 Massimo Blasone , Petr Jizba , Gaetano Lambiase , Luciano Petruzziello

The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the {\em broken phase}. For a particular value of the coupling the system is classically conformal, and can actually be…

High Energy Physics - Theory · Physics 2015-06-19 Enrique Alvarez , Mario Herrero-Valea , C. P. Martín

For a four dimensional, unitary, diffeomorphism- and scale invariant quantum field theory without higher derivatives and a well defined scale current we argue that scale invariance implies conformal invariance. The proof relies on the…

High Energy Physics - Theory · Physics 2015-05-11 Ivo Sachs

We perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new…

High Energy Physics - Theory · Physics 2022-06-29 Ichiro Oda

A consistent theory of quantum gravity will require a fully quantum formulation of the classical equivalence principle. Such a formulation has been recently proposed in terms of the equality of the rest, inertial and gravitational mass…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Saurya Das , Mitja Fridman , Gaetano Lambiase

The difference in the properties of the spin correlation tensor for factorizable and nonfactorizable two-particle states is analyzed. The inequalities for linear combinations of the components of this tensor are obtained for the case of…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. Lednicky , V. Lyuboshitz

The problem of quantum equivalence between non-linear sigma models related by Abelian or non-Abelian T-duality is studied in perturbation theory. Using the anomalous Ward identity for Weyl symmetry we derive a relation between the Weyl…

High Energy Physics - Theory · Physics 2009-10-31 J. Balog , P. Forgacs , N. Mohammedi , L. Palla , J. Schnittger

Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Eleni-Alexandra Kontou , Ken D. Olum

Scalar-tensor theories of gravity provide a consistent framework to accommodate an ultra-light quintessence scalar field. While the equivalence principle is respected by construction, deviations from General Relativity and standard…

Astrophysics · Physics 2008-11-26 R. Catena , N. Fornengo , A. Masiero , M. Pietroni , F. Rosati

A scalar theory of gravity with a preferred reference frame is presented. It is insisted on the dynamics, which involves a (non-trivial) extension of Newton's second law, and on the new version (v2) with isotropic space metric. We display…

General Relativity and Quantum Cosmology · Physics 2007-11-19 Mayeul Arminjon

A violation of the distance-duality relation is directly linked with a temporal variation of the electromagnetic fine-structure constant. We consider a number of well-studied $f(T)$ gravity models and we revise the theoretical prediction of…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Jackson Levi Said , Jurgen Mifsud , David Parkinson , Emmanuel N. Saridakis , Joseph Sultana , Kristian Zarb Adami

A new framework of loop quantization that assimilates conformal and scale invariance is constructed and is found to be applicable to a large class of physically important theories of gravity and gravity-matter systems. They include general…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Charles H. -T. Wang , Daniel P. F. Rodrigues

In a scalar-coupled-gravity model, the quadratically divergent counter term appearing in the mass renormalization of the scalar fields must inherit corrections arising out of gravitational interactions. In this work we have explicitly…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Sumanta Chakraborty

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form of the weak equivalence principle which is…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claus Lämmerzahl

It is generally known that the energy density can be negative in quantum field theory. It is also believed that there are limits on this negative energy density. These limits are known as the quantum inequalities. In a recent paper [8] an…

Quantum Physics · Physics 2011-06-22 Dan Solomon

We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One…

High Energy Physics - Theory · Physics 2020-12-24 Mark P. Hertzberg

The weak equivalence principle (WEP) is the cornerstone of gravitational theories. At the local scale, WEP has been tested to high accuracy by various experiments. On the intergalactic distance scale, WEP could be tested by comparing the…

General Relativity and Quantum Cosmology · Physics 2020-10-26 Shu-Cheng Yang , Wen-Biao Han , Gang Wang