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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 analyze the vacuum fluctuations and the stress-energy tensor of a scalar field of mass $M$ in a conical spacetime, where the topological singularity at the apex requires boundary conditions for the field equation. The necessity of…

High Energy Physics - Theory · Physics 2025-12-05 João Paulo M. Pitelli , Ricardo A. Mosna , Victor Hugo M. Ramos , João C. A. Barata

We revisit the construction of the renormalized trace $\Theta$ of the Energy-Momentum tensor in the four-dimensional $\lambda\phi^4$ theory,using dimensional regularization in $d=4-\ve$ dimensions. We first construct several basic…

High Energy Physics - Theory · Physics 2024-10-25 Nikos Irges , Leonidas Karageorgos

Within the context of quantum field theory in curved spacetimes, Hacyan and Sarmiento defined the vacuum stress-energy tensor with respect to the accelerated observer. They calculated it for uniform acceleration and circular motion, and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. Hirayama , T. Hara

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

The stress energy tensor for the classical non-minimally coupled scalar field is known not to satisfy the point-wise energy conditions of general relativity. In this paper we show, however, that local averages of the classical stress energy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christopher J. Fewster , Lutz W. Osterbrink

We compute the local second variation of the von Neumann entropy of a region in theories with a gravity dual. For null variations our formula says that the diagonal part of the Quantum Null Energy Condition is saturated in every state, thus…

High Energy Physics - Theory · Physics 2018-10-17 Stefan Leichenauer , Adam Levine , Arvin Shahbazi-Moghaddam

It is shown that the averaged null energy condition is fulfilled for a dense, translationally invariant set of vector states in any local quantum field theory in two-dimensional Minkowski spacetime whenever the theory has a mass gap and…

Mathematical Physics · Physics 2015-06-26 Rainer Verch

The null energy condition (NEC), an important assumption of the Penrose singularity theorem, is violated by quantum fields. The natural generalization of the NEC in quantum field theory, the renormalized null energy averaged over a finite…

High Energy Physics - Theory · Physics 2021-11-11 Jackson R. Fliss , Ben Freivogel , Eleni-Alexandra Kontou

Building on a pair of earlier papers, I investigate the various point-wise and averaged energy conditions for the quantum stress-energy tensor corresponding to a conformally-coupled massless scalar field in the in the (1+1)-dimensional…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Matt Visser

Determinants of the second-rank tensors stand useful in forming generally invariant terms as in the case of the volume element of the gravitational actions. Here, we extend the action of the matter fields by an arbitrary function $f(D)$ of…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Hemza Azri , Salah Nasri

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

We define the state of minimum energy while the expectation values of the field operators and their time derivatives in a determined moment in such a state are constrained. As an axiom, we consider such a state as the background of the…

High Energy Physics - Theory · Physics 2023-05-16 Amin Akhavan

In a recent work an approximation procedure was introduced to calculate the vacuum expectation value of the stress-energy tensor for a conformal massless scalar field in the classical background determined by a particular colliding plane…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Miquel Dorca

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

We have obtained nonperturbative one-loop expressions for the mean energy-momentum tensor and current density of Dirac's field on a constant electric-like background. One of the goals of this calculation is to give a consistent description…

High Energy Physics - Theory · Physics 2012-07-03 S. P. Gavrilov , D. M. Gitman

Ambient Forcing is a novel method to sample random states from manifolds of differential-algebraic equations (DAE). These states can represent local perturbations of nodes in power systems with loads, which introduces constraints into the…

Adaptation and Self-Organizing Systems · Physics 2023-08-30 Anna Büttner , Jürgen Kurths , Frank Hellmann

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

Considerable interest has recently been expressed regarding the issue of whether or not quantum field theory on a fixed but curved background spacetime satisfies the averaged null energy condition (ANEC). A comment by Wald and Yurtsever…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Matt Visser

In this paper we consider charged and neutral blackfold and extract the Brown-York stress energy tensor. Also, we show that the neutral blackfold spacetime is Ricci- flat and the other spacetime is not. This Ricci-flat condition gives us…

High Energy Physics - Theory · Physics 2017-11-08 Z. Amoozad , J. Sadeghi