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We study a type of geometric theory with a non-dynamical one-form field. Its dynamical variables are an $su(2)$ gauge field and a triad of $su(2)$ valued one-forms. Hamiltonian decomposition reveals that the theory has a true Hamiltonian,…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Jack Gegenberg , Viqar Husain

We discuss a model where a spontaneous quantum collapse is induced by the gravitational interaction, treated classically. Its dynamics couples the standard wave function of a system with the Bohmian positions of its particles, which are…

Quantum Physics · Physics 2020-02-18 F. Laloë

Loop quantum gravity and cosmology are reviewed with an emphasis on evaluating the dynamics, rather than constructing it. The three crucial parts of such an analysis are (i) deriving effective equations, (ii) controlling the theory's…

General Relativity and Quantum Cosmology · Physics 2011-01-31 Martin Bojowald

We consider a quantization of relativistic wave equations which allows to treat quantum fields together with interacting particles at a finite time. We discuss also a dissipative interaction with the environment. We introduce a stochastic…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

It is shown that the equations of relativistic Bohmian mechanics for multiple bosonic particles have a dual description in terms of a classical theory of conformally "curved" space-time. This shows that it is possible to formulate quantum…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Benjamin Koch

The vacuum Gowdy models provide much studied, non-trivial midi-superspace examples. Various technical issues within Loop Quantum Gravity can be studied in these models as well as one can hope to understand singularities and their resolution…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kinjal Banerjee , Ghanashyam Date

Symmetries and transformations are explored in the framework of entropic quantum dynamics. Two conditions arise that are required for any transformation to qualify as a symmetry. The heart of this work lies in the application of these…

Quantum Physics · Physics 2015-05-20 David T. Johnson , Ariel Caticha

Phenomenological models aiming to join gravity and quantum mechanics often predict effects that are potentially measurable in refined low-energy experiments. For instance, modified commutation relations between position and momentum, that…

We argue for enlarging the traditional view of quantum gravity, based on "quantizing GR", to include explicitly the non-spatiotemporal nature of the fundamental building blocks suggested by several modern quantum gravity approaches (and…

History and Philosophy of Physics · Physics 2018-05-15 Daniele Oriti

Quantum revivals are investigated for the dynamics of an atom in a driven gravitational cavity. It is demonstrated that the external driving field influences the revival time significantly. Analytical expressions are presented which are…

Quantum Physics · Physics 2009-11-06 F. Saif , G. Alber , V. Savichev , W. P. Schleich

We examine the Newtonian potential in gravitational cohomology. This is given by a symmetric, two-index tensor field, which satisfies the wave equation in empty space. Furthermore, the associated gravitational field strength, obtained by…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Richard Atkins

We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the…

High Energy Physics - Theory · Physics 2009-10-22 J. Ambjorn , J. Jurkiewicz , C. F. Kristjansen

We investigate some classical and quantum aspects of a general class of higher derivative theories of gravity. We propose a generalized version of the so-called Teyssandier gauge condition and we investigative its implications on the…

High Energy Physics - Theory · Physics 2018-09-19 A. Accioly , J. de Almeida , G. P. de Brito , W. Herdy

We recast the action principle of four dimensional General Relativity so that it becomes amenable for perturbation theory which doesn't break general covariance. The coupling constant becomes dimensionless (G_{Newton} \Lambda) and extremely…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Freidel , Artem Starodubtsev

The basic features of the complex canonical formulation of general relativity and the recent developments in the quantum gravity program based on it are reviewed. The exposition is intended to be complementary to the review articles…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Hideo Kodama

Quantum Gravity by Causal Dynamical Triangulation has over the last few years emerged as a serious contender for a nonperturbative description of the theory. It is a nonperturbative implementation of the sum-over-histories, which relies on…

High Energy Physics - Theory · Physics 2010-04-05 J. Ambjorn , J. Jurkiewicz , R. Loll

We present for the first time an explicit exposition of quantum corrections within the cubic Galileon theory including the effect of quantum gravity, in a background- and gauge-invariant manner, employing the field-reparametrisation…

High Energy Physics - Theory · Physics 2017-05-17 Ippocratis D. Saltas , Vincenzo Vitagliano

We suggest a scheme for considering the quantum correction of the gravitational constant. In the model, the gravitational constant originates from a coupling of the gravitational field with a scalar field. In this paper, we show that if the…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Yu-Jie Chen , Shi-Lin Li , Yu-Zhu Chen , Wen-Du Li , Wu-Sheng Dai

Hydrodynamics of gases in the classical domain are examined from the perspective that the gas has a well-defined wavefunction description at all times. Specifically, the internal energy and volume exclusion of decorrelated vortex structures…

General Physics · Physics 2016-01-08 Clifford Chafin

We employ stochastic quantization for a self-interacting nonminimal massive scalar field in curved spacetime. The covariant background field method and local momentum space representation are used to obtain the Euclidean correlation…

High Energy Physics - Theory · Physics 2019-09-25 Eduardo Antonio dos Reis , Gastão Krein , Tibério de Paula Netto , Ilya L. Shapiro
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