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We study the problem of the behavior of a quantum massless scalar field in the space between two parallel infinite perfectly conducting plates, one of them stationary, the other moving periodically. We reformulate the physical problem into…

Quantum Physics · Physics 2009-11-10 Nikola P. Petrov

The Casimir effect for general Robin conditions on the surface of a cylinder in $D$-spacetime dimensions is studied for massive scalar field with general curvature coupling. The energy distribution and vacuum stress are investigated. We…

High Energy Physics - Theory · Physics 2009-11-07 August Romeo , Aram A. Saharian

The Casimir force between bodies in vacuum can be understood as arising from their interaction with an infinite number of fluctuating electromagnetic quantum vacuum modes, resulting in a complex dependence on the shape and material of the…

The review of vacuum and matter restructuring in space-time with boundaries is presented. We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase…

High Energy Physics - Theory · Physics 2022-08-09 Alexander Molochkov

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

Statistical Mechanics · Physics 2008-03-14 Daniel Grüneberg , H. W. Diehl

We study a Casimir-like behaviour in a "deformed QCD". We demonstrate that for the system defined on a manifold of size L the difference Delta E between the energies of a system in a non-trivial background and Minkowski space-time geometry…

High Energy Physics - Phenomenology · Physics 2013-05-30 Evan Thomas , Ariel R. Zhitnitsky

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the…

High Energy Physics - Theory · Physics 2015-06-18 Yu. A. Sitenko , S. A. Yushchenko

We investigate the thermal Casimir effect of a massless scalar field for two parallel plates moving in the equatorial orbit in Kerr space-time. Under the assumption that the typical cavity size is much smaller than the orbital radius,…

Quantum Physics · Physics 2017-10-10 Anwei Zhang

The lowest radiative correction to the Casimir energy density between two parallel plates is calculated using effective field theory. Since the correlators of the electromagnetic field diverge near the plates, the regularized energy density…

Quantum Physics · Physics 2009-10-30 Xinwei Kong , Finn Ravndal

The Wightman function and the vacuum expectation values of the field squared and of the energy-momentum tensor are obtained, for a massive scalar field with an arbitrary curvature coupling parameter, in the region between two infinite…

High Energy Physics - Theory · Physics 2013-05-29 E. Elizalde , A. A. Saharian , T. A. Vardanyan

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , R. S. Davtyan , A. H. Yeranyan

A computation of the Casimir effect for a real scalar field in four situations: on a segment of a line, on a circle and on both standard commutative and noncommutative two-spheres is given in this paper. The main aim of this paper is to…

High Energy Physics - Theory · Physics 2007-05-23 Michal Demetrian

Finite temperature Casimir theory of the Dirichlet scalar field is developed, assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap R and in addition an arbitrary number q…

High Energy Physics - Theory · Physics 2014-11-18 Marianne Rypestøl , Iver Brevik

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy

We consider a system consisting of a quantum, massless, real scalar field, in the presence of nonlinear mirrors: infinite parallel planes, upon which the field satisfies nonlinear boundary conditions. The latter are implemented by…

High Energy Physics - Theory · Physics 2015-12-30 C. D. Fosco , L. E. Oxman

In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the…

High Energy Physics - Theory · Physics 2009-05-12 K. A. Milton

We evaluate the fermionic Casimir effect associated with a massive fermion confined within a planar (d+1) dimensional slab-bag, on which MIT bag model boundary conditions of standard type, along a single spatial direction, are imposed. A…

High Energy Physics - Theory · Physics 2009-11-07 E. Elizalde , F. C. Santos , A. C. Tort

In this work, we consider the Casimir effect due to massless fermionic fields in the presence of long cylinders. More precisely, we consider the interaction between a cylinder parallel to a plate, between two parallel cylinders outside each…

High Energy Physics - Theory · Physics 2015-04-22 L. P. Teo

The Paper actually concerns a toy model, not physical Casimir cavities made of conducting plates, but the results are taken implicitly to apply in general. We question on general physical grounds one basic assumption and the results of a…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Massimo Cerdonio , Carlo Rovelli

We study the field theoretical model of a scalar field in presence of spacial inhomogeneities in form of one and two finite width mirrors (material slabs). The interaction of the scalar field with the defect is described with…

High Energy Physics - Theory · Physics 2014-11-20 Ignat V. Fialkovsky , Vladimir N. Markov , Yuriy M. Pis'mak
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