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Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin…

General Relativity and Quantum Cosmology · Physics 2016-10-19 B. L. Hu , E. Verdaguer

In this article, we propose a procedure for calculating the boundary stress tensor of a gravitational theory in asymptotic flat spacetime. As a case study, the stress tensor correctly reproduces the Brown-York charges for the Kerr blackhole…

High Energy Physics - Theory · Physics 2025-09-25 Jay Bhambure , Hare Krishna

We calculate holographically arbitrary n-point correlators of the boundary stress tensor in three-dimensional Einstein gravity with negative or vanishing cosmological constant. We provide explicit expressions up to 5-point (connected)…

High Energy Physics - Theory · Physics 2016-03-23 Arjun Bagchi , Daniel Grumiller , Wout Merbis

The magnetic deformation of the Ising Model, the thermal deformations of both the Tricritical Ising Model and the Tricritical Potts Model are governed by an algebraic structure based on the Dynkin diagram associated to the exceptional…

High Energy Physics - Theory · Physics 2015-06-26 C. Acerbi , G. Mussardo , A. Valleriani

An important yet perplexing result from work in the 90s and 00s is the near-unity value of the ratio of fluctuations in the vacuum energy density of quantum fields to the mean in a collection of generic spacetimes. This was done by way of…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Hing-Tong Cho , Jen-Tsung Hsiang , Bei-Lok Hu

We study the fluctuations of the stress tensor for a massless scalar field in two and four-dimensional Minkowski spacetime in the vacuum state. Covariant expressions for the stress tensor correlation function are obtained as sums of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. H. Ford , Thomas A. Roman

The inspiral of binary systems in vacuum is controlled by the stress-energy of gravitational radiation and any other propagating degrees of freedom. For gravitational waves, the dominant contribution is characterized by an effective…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Leo C. Stein , Nicolas Yunes

Continuing our investigation of the regularization of the noise kernel in curved spacetimes [N. G. Phillips and B. L. Hu, Phys. Rev. D {\bf 63}, 104001 (2001)] we adopt the modified point separation scheme for the class of optical…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicholas G Phillips , B. L. Hu

We present a general procedure to renormalize the stress tensor two-point correlation function on a Minkowski background in position space. The method is shown in detail for the case of a free massive scalar field in the standard Minkowski…

General Relativity and Quantum Cosmology · Physics 2013-08-14 Markus B. Fröb

We investigate the connection between stress-energy tensor (SET) arising from Noether's theorem and Belinfante SET which can be obtained as a right-hand side of the Einstein's equation in the flat metric limit. This question is studied in…

General Relativity and Quantum Cosmology · Physics 2018-12-31 R. V. Ilin , S. A. Paston

The mean value of the stress-energy tensor of a given quantum field theory at global thermodynamic equilibrium in a curved space-time can be expressed in terms of the derivatives of the Killing four-temperature field and the derivatives of…

High Energy Physics - Theory · Physics 2026-04-16 F. Becattini , F. Palli

Despite tremendous progress in our understanding of scattering amplitudes in perturbative (super-) gravity, much less is known about other asymptotic observables, such as correlation functions of detector operators. In this paper, we…

High Energy Physics - Theory · Physics 2024-12-10 Enrico Herrmann , Murat Kologlu , Ian Moult

We provide an explicit expression for the renormalized expectation value of the stress-energy tensor of a spin-$1/2$ field in a spatially flat FLRW universe. Its computation is based on the extension of the adiabatic regularization method…

General Relativity and Quantum Cosmology · Physics 2021-09-17 Adrian del Rio , Jose Navarro-Salas , Francisco Torrenti

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi

After recapitulating the covariant formalism of equilibrium statistical mechanics in special relativity and extending it to the case of a non-vanishing spin tensor, we show that the relativistic stress-energy tensor at thermodynamical…

General Relativity and Quantum Cosmology · Physics 2013-05-30 F. Becattini

We propose that the expectation value of the stress energy tensor of the Standard Model should be given by $< T_{\mu \nu} > = \rho_\vac \eta_{\mu\nu}$, with a vacuum energy $\rho_\vac$ that differs from the usual "dimensional analysis"…

General Relativity and Quantum Cosmology · Physics 2014-06-02 Jan Holland , Stefan Hollands

We consider a uniformly luminous radiating sphere and a static black hole located in the center of that sphere. We give analytic formulas for radiation stress-energy tensor components in such a configuration, for the observer located at an…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Maciek Wielgus , Marek A. Abramowicz

We investigate the non-Gaussianity of primordial cosmological perturbations using holographic methods. In particular, we derive holographic formulae that relate all cosmological 3-point correlation functions, including both scalar and…

High Energy Physics - Theory · Physics 2011-07-01 Paul McFadden , Kostas Skenderis

The regularized expectation value of the stress-energy tensor for a massless bosonic or fermionic field in 1+1 dimensions is calculated explicitly for the instantaneous vacuum relative to any Cauchy surface (here a spacelike curve) in terms…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Don N. Page

It has been proposed recently to consider in the framework of cosmology an extension of the semiclassical Einstein's equations in which the Einstein tensor is considered as a random function. This paradigm yields a hierarchy of equations…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Claudio Dappiaggi , Alberto Melati