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In this paper we calculate the vacuum expectation values of the stress-energy bitensor of a massive quantum scalar field with general coupling to N-dimensional Euclidean spaces and hyperbolic spaces which are Euclidean sections of the…

High Energy Physics - Theory · Physics 2011-09-08 H. T. Cho , B. L. Hu

We calculate the vacuum expectation values of the stress-energy bitensor of a minimally coupled massless scalar field in anti-de Sitter (AdS) spaces. These correlators, also known as the noise kernel, act as sources in the Einstein-Langevin…

High Energy Physics - Theory · Physics 2015-05-28 H. T. Cho , B. L. Hu

For quantum fields on a curved spacetime with an Euclidean section, we derive a general expression for the stress energy tensor two-point function in terms of the effective action. The renormalized two-point function is given in terms of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Nicholas G. Phillips , B. L. Hu

The noise kernel is the vacuum expectation value of the (operator-valued) stress-energy bi-tensor which describes the fluctuations of a quantum field in curved spacetimes. It plays the role in stochastic semiclassical gravity based on the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Nicholas G Phillips , B. L. Hu

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 2007-05-23 B. L. Hu , 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

In the AdS$_3$/CFT$_2$ framework, the Euclidean BTZ black hole corresponds to the dominant high-temperature phase of its dual field theory. We initially employ perturbative methods to solve the Einstein equations as boundary value problems,…

High Energy Physics - Theory · Physics 2024-06-26 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

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 show that the stress-energy tensor has additional terms with respect to the ideal form in states of global thermodynamic equilibrium in flat spacetime with non-vanishing acceleration and vorticity. These corrections are of quantum origin…

General Relativity and Quantum Cosmology · Physics 2015-09-02 F. Becattini , E. Grossi

We compute the two-point function and the renormalized expectation value of the stress tensor of a quantum field interacting with a nucleating bubble. Two simple models are considered. One is the massless field in the Vilenkin-Ipser-Sikivie…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Xavier Montes

The stress-energy tensor of a quantized scalar field is computed in the reduced two-dimensional charged dilatonic black hole spacetime of Garfinkle, Horowitz, and Strominger. In order for the stress-energy of quantized fields to be regular…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Daniel J. Loranz , William A. Hiscock

The two-point function of the stress tensor operator of a quantum field in de Sitter spacetime is calculated for an arbitrary number of dimensions. We assume the field to be in the Bunch-Davies vacuum, and formulate our calculation in terms…

General Relativity and Quantum Cosmology · Physics 2010-06-15 Guillem Pérez-Nadal , Albert Roura , Enric Verdaguer

We use the correspondence between three-dimensional asymptotically flat spacetimes and two-dimensional contracted conformal field theories (CCFTs) to derive the stress tensor correlators of CCFT$_2$. On the gravity side we use the metric…

High Energy Physics - Theory · Physics 2017-11-16 Mohammad Asadi , Omid Baghchesaraei , Reza Fareghbal

We analyze the expectation value of the energy-momentum tensor and its fluctuations in quantum field theory on curved spacetimes $\langle T_{ab} \rangle$. A generally accepeted condition for the conceptual consistency of semiclassical…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Alejandro Perez , Daniel Sudarsky

We derive the explicit expression for the four-point correlation function of stress-energy tensors in four-dimensional N=4 superconformal theory. We show that it has a remarkably simple and suggestive form allowing us to predict a large…

High Energy Physics - Theory · Physics 2016-01-27 G. P. Korchemsky , E. Sokatchev

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Peter B. Groves , Paul R. Anderson , Eric D. Carlson

A method is given to compute an approximation to the noise kernel, defined as the symmetrized connected 2-point function of the stress tensor, for the conformally invariant scalar field in any spacetime conformal to an ultra-static…

General Relativity and Quantum Cosmology · Physics 2015-05-20 A. Eftekharzadeh , Jason D. Bates , Albert Roura , Paul R. Anderson , B. L. Hu

Using the Minkowski space AdS/CFT prescription we explicitly compute in the low-energy limit the two-point correlation function of the boundary stress-energy tensor in a large class of type IIB supergravity backgrounds with a regular…

High Energy Physics - Theory · Physics 2011-05-05 Alex Buchel

The approximate stress-energy tensor of the quantized massive scalar, spinor and vector fields in the spatially flat Friedman-Robertson-Walker universe is constructed. It is shown that for the scalar fields with arbitrary curvature…

General Relativity and Quantum Cosmology · Physics 2013-11-19 Jerzy Matyjasek , Paweł Sadurski

The central object in the theory of semiclassical stochastic gravity is the noise kernel which is the symmetric two point correlation function of the stress-energy tensor. Using the corresponding Wightman functions in Minkowski, Einstein…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu
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