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We calculate the energy-momentum tensor due to electromagnetic vacuum fluctuations between two parallel hyperplanes in more than four dimensions, considering both metallic and MIT boundary conditions. Using the axial gauge, the problem can…

Quantum Physics · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

Electromagnetic Casimir stresses are of relevance to many technologies based on mesoscopic devices such as MEMS embedded in dielectric media, Casimir induced friction in nano-machinery, micro-fluidics and molecular electronics. Computation…

Mathematical Physics · Physics 2013-05-30 Shin-itiro Goto , Alison C. Hale , Robin W. Tucker , Timothy J. Walton

This article addresses a number of issues associated with the problem of calculating contributions from the electromagnetic quantum induced energy and stress in a stationary material with an inhomogeneous polarizability. After briefly…

Quantum Physics · Physics 2018-10-01 S. Goto , R. W. Tucker , T. J. Walton

Energy momentum tensor (EMT) characterizes the response of the vacuum as well as the thermal medium under the color electromagnetic fields. We define the EMT by means of the gradient flow formalism and study its spatial distribution around…

High Energy Physics - Lattice · Physics 2021-01-04 Ryosuke Yanagihara , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

We analyze the renormalized stress-energy tensor (RSET) of a massless quantum scalar field in time-dependent gravitational backgrounds. Starting from its formal expression obtained within the covariant perturbative expansion to lowest order…

General Relativity and Quantum Cosmology · Physics 2026-01-21 A. Boasso , F. D. Mazzitelli

We consider a massive scalar field living on the recently found exact quantum space-time corresponding to vacuum spherically symmetric loop quantum gravity. The discreteness of the quantum space time naturally regularizes the scalar field,…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Nahuel Barrios , Rodolfo Gambini , Jorge Pullin

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

General relativity and its extensions including torsion identify stress energy momentum as being proportional to the Einstein tensor, thus ensuring both symmetry and conservation. Here we visualize stress energy and momentum by identifying…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Adam Marsh

We evaluate the quantum correlators associated with the Maxwell field vacuum distorted by the presence of plane parallel material surfaces. Regularization is performed through the generalized zeta funtion technique. Results are applied to a…

High Energy Physics - Theory · Physics 2007-05-23 C. Farina , J. J. Passos Sobrinho , A. C Tort

It is shown that different pairs of stress-energy and spin tensors of quantum relativistic fields related by a pseudo-gauge transformation, i.e. differing by a divergence, imply different mean values of physical quantities in…

High Energy Physics - Theory · Physics 2013-05-30 F. Becattini , L. Tinti

We give a fully covariant energy momentum stress tensor for the gravitational field which is easily physically motivated, and which leads to a very general derivation of the Einstein equation for gravity. We do not need to assume any…

General Relativity and Quantum Cosmology · Physics 2009-03-31 Maurice J. Dupré

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The classical Maxwell equations with spatially…

Quantum Physics · Physics 2009-10-30 Ho Trung Dung , L. Knoell , D. -G. Welsch

We present a derivation of the stress field for an interacting quantum system within the framework of local density functional theory. The formulation is geometric in nature and exploits the relationship between the strain tensor field and…

Materials Science · Physics 2009-11-07 Christopher L. Rogers , Andrew M. Rappe

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

Classical Physics · Physics 2013-09-04 Jonathan Gratus , Matthew McCormack

A recent paper (2012 \emph{J. Phys.\ A} \textbf{45} 374018) is extended by investigating the behavior of the regularized quantum scalar stress tensor near the axes of cones and their covering manifold, the Dowker space. A cone is…

Mathematical Physics · Physics 2016-02-17 S. A. Fulling , F. D. Mera

We revisit the longstanding electromagnetic mass problem from a modern quantum field theory perspective. Focusing on a system of two widely separated hydrogen atoms, one in an excited $nS$ state and the other in the ground $1S$ state, we…

High Energy Physics - Phenomenology · Physics 2025-04-16 Qasem Exirifard , Alessio D'Errico , Ebrahim Karimi

It is well known that boundary conditions on quantum fields produce divergences in the renormalized energy-momentum tensor near the boundaries. Although irrelevant for the computation of Casimir forces between different bodies, the…

High Energy Physics - Theory · Physics 2015-05-30 Francisco D. Mazzitelli , Jean Paul Nery , Alejandro Satz

The components of the renormalized quantum stress tensor for a massive vector field in the spacetime of a pointlike global monopole are determined analytically in the Schwinger-DeWitt approximation. The general results are employed to…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Owen Pavel Fernández Piedra

A classical problem in elasticity theory involves an inhomogeneity embedded in a material of given stress and shear moduli. The inhomogeneity is a region of arbitrary shape whose stress and shear moduli differ from those of the surrounding…

Materials Science · Physics 2009-11-13 Joachim Mathiesen , Itamar Procaccia , Ido Regev

Energy momentum tensor of a conformally coupled quantum scalar field in five dimensional warped cosmological spacetimes is studied. We look at situations where the four dimensional part represents a cosmological thick brane and the scale of…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Suman Ghosh