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We summarize several aspects of recent work on quantum stress tensor fluctuations and their role in driving fluctuations of the gravitational field. The role of correlations and anticorrelations is emphasized. We begin with a review of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. H. Ford , Chun-Hsien Wu

A correspondence between fluctuations of conformally invariant quantum fields and that of classical fields finally reducing to perfect fluid matter content is shown to exist. Previously a similar correspondence between the stress tensors…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Seema Satin

We discuss the limits of validity of the semiclassical theory of gravity in which a classical metric is coupled to the expectation value of the stress tensor. It is argued that this theory is a good approximation only when the fluctuations…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Chung-I Kuo , L. H. Ford

This is a review of recent work on quantum fluctuations of the electric field and of stress tensor operators and their physical effects. The probability distribution for vacuum fluctuations of the electric field is Gaussian, but that for…

High Energy Physics - Theory · Physics 2022-12-06 L. H. Ford

We analyze the quantum fluctuations of vacuum stress tensors and spacetime curvatures, using the framework of linear response theory which connects these fluctuations to dissipation mechanisms arising when stress tensors and spacetime…

Quantum Physics · Physics 2015-06-26 Marc-Thierry Jaekel , Serge Reynaud

Observing physical effects of large quantum stress tensor fluctuations requires knowledge of the interactions between the probe and the particles of the underlying quantum fields. The quantum stress tensor operators must first be averaged…

High Energy Physics - Theory · Physics 2023-02-21 Peter Wu , L. H. Ford , Enrico D. Schiappacasse

A correspondence between fluctuations of non-minimally coupled scalar fields and that of an effective fluid with heat flux and anisotropic stresses, is shown. Though the correspondence between respective stress tensors of scalar fields and…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Seema Satin

Quantum fluctuations of the vacuum stress-energy tensor are highly non-Gaussian, and can have unexpectedly large effects on spacetime geometry. In this paper, we study a two-dimensional dilaton gravity model coupled to a conformal field, in…

General Relativity and Quantum Cosmology · Physics 2020-12-18 S. Carlip , Ricardo A. Mosna , J. P. M. Pitelli

The Einstein-Langevin equation is a perturbative correction to the semiclassical Einstein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rosario Martin , Enric Verdaguer

The back-reaction of a classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equation, which has the expectation value of the quantum matter fields stress tensor as a source. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Verdaguer

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

We examine the effect of the stress tensor of a quantum matter field, such as the electromagnetic field, on the spectrum of primordial gravity waves expected in inflationary cosmology. We find that the net effect is a small reduction in the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Jen-Tsung Hsiang , L. H. Ford , Kin-Wang Ng , Chun-Hsien Wu

Semiclassical Physics in gravitational scenario, in its first approximation (1st order) cares only for the expectation value of stress energy tensor and ignores the inherent quantum fluctuations thereof. In the approach of stochastic…

General Relativity and Quantum Cosmology · Physics 2020-10-22 Ankit Dhanuka , Kinjalk Lochan

We treat the gravitational effects of quantum stress tensor fluctuations. An operational approach is adopted in which these fluctuations produce fluctuations in the focusing of a bundle of geodesics. This can be calculated explicitly using…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Borgman , L. H. Ford

Quantum vacuum fluctuations tend to be strongly anti-correlated, which reduces their observable effects. However, time dependence can upset the cancellation of these anti-correlated fluctuations and greatly enhance their effects. This form…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Victor Parkinson , L. H. Ford

We study a model for quantum lightcone fluctuations in which vacuum fluctuations of the electric field and of the squared electric field in a nonlinear dielectric material produce variations in the flight times of probe pulses. When this…

General Relativity and Quantum Cosmology · Physics 2016-04-06 C. H. G. Bessa , V. A. De Lorenci , L. H. Ford , C. C. H. Ribeiro

The two-point function characterizing the stress tensor fluctuations of a massless minimally coupled field for an invariant vacuum state in de Sitter spacetime is discussed. This two-point function is explicitly computed for spacelike…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer

Stochastic semiclassical gravity is a theory for the interaction of gravity with quantum matter fields which goes beyond the semiclassical limit. The theory predicts stochastic fluctuations of the classical gravitational field induced by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Enric Verdaguer

We present an extension of the semiclassical Einstein equations which couples n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Nicola Pinamonti , Daniel Siemssen

We consider the effects of the quantum stress tensor fluctuations of a conformal field in generating gravity waves in inflationary models. We find a non-scale invariant, non-Gaussian contribution which depends upon the total expansion…

General Relativity and Quantum Cosmology · Physics 2011-12-08 Chun-Hsien Wu , Jen-Tsung Hsiang , L. H. Ford , Kin-Wang Ng
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