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The Casimir force between two perfectly reflecting parallel plates is considered. In a recent paper we presented generalised physical boundary conditions describing perfectly reflecting parallel plates. These boundary conditions are…

Quantum Physics · Physics 2018-03-15 Adam Stokes , Robert Bennett

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit derivation of Casimir effect for massless spin-3/2 field with periodic boundary…

High Energy Physics - Theory · Physics 2009-03-19 Wenbiao Liu , Kui Xiao , Hongbao Zhang

A generalization of the MIT bag boundary condition for spinor matter is proposed basing on the requirement that the Dirac hamiltonian operator be self-adjoint. An influence of a background magnetic field on the vacuum of charged spinor…

High Energy Physics - Theory · Physics 2016-10-14 Yurii A Sitenko

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

High Energy Physics - Theory · Physics 2015-05-06 Yu. A. Sitenko

The consistency of quantum field theories defined on domains with external borders imposes very restrictive constraints on the type of boundary conditions that the fields can satisfy. We analyse the global geometrical and topological…

High Energy Physics - Theory · Physics 2009-11-11 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

Local boundary conditions involving field strengths and the normal to the boundary, originally studied in anti-de Sitter space-time, have been recently considered in one-loop quantum cosmology. This paper derives the conditions under which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito , Giuseppe Pollifrone

This paper reviews the progress made over the last five years in studying boundary conditions and semiclassical properties of quantum fields about 4-real-dimensional Riemannian backgrounds. For massless spin-${1\over 2}$ fields one has a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Giampiero Esposito

Charged massive matter fields of spin 0 and 1/2 are quantized in the presence of an external uniform magnetic field in a spatial region bounded by two parallel plates. The most general set of boundary conditions at the plates, that is…

High Energy Physics - Theory · Physics 2015-08-31 Yu. A. Sitenko

We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

We use a functional approach to calculate the Casimir energy due to Dirac fields in interaction with thin, flat, parallel walls, which implement imperfect bag-like boundary conditions. These are simulated by the introduction of delta-like…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , E. L. Losada

Using ambient space we develop a fully gauge and o(d,2) covariant approach to boundary values of AdS(d+1) gauge fields. It is applied to the study of (partially) massless fields in the bulk and (higher-order) conformal scalars, i.e.…

High Energy Physics - Theory · Physics 2015-06-15 Xavier Bekaert , Maxim Grigoriev

We analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells which impose on the field mixed boundary conditions. We thus complement a previous result [Phys. Rev. A \textbf{78}, 032521…

Quantum Physics · Physics 2009-04-27 F. Pascoal , L. C. Céleri , S. S. Mizrahi , M. H. Y. Moussa , C. Farina

This paper studies the two-spinor form of the Rarita-Schwinger potentials subject to local boundary conditions compatible with local supersymmetry. The massless Rarita-Schwinger field equations are studied in four-real-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gabriele Gionti , Alexander Yu. Kamenshchik , Igor V. Mishakov , Giuseppe Pollifrone

We study the Casimir effect for scalar fields with general curvature coupling subject to mixed boundary conditions $(1+\beta_{m}n^{\mu}\partial_{\mu})\phi =0$ at $x=a_{m}$ on one ($m=1$) and two ($m=1,2$) parallel plates at a distance…

High Energy Physics - Theory · Physics 2008-11-26 A. Romeo , A. A. Saharian

We investigate new boundary conditions in three-dimensional asymptotically Anti-de Sitter gravity coupled to higher-spin fields, allowing for arbitrary boundary degrees of freedom. This generalization gives rise to an enlarged algebra of…

High Energy Physics - Theory · Physics 2025-09-19 Arnaud Delfante

We consider a massless scalar field in 1+1 dimensions that satisfies a Robin boundary condition at a non-relativistic moving boundary. Using the perturbative approach introduced by Ford and Vilenkin, we compute the total force on the moving…

High Energy Physics - Theory · Physics 2007-05-23 B. Mintz , C. Farina , P. A. Maia Neto , R. Rodrigues

The Casimir effect giving rise to an attractive or repulsive force between the configuration boundaries that confine the massless scalar field is reexamined for one to three-dimensional pistons in this paper. Especially, we consider Casimir…

High Energy Physics - Theory · Physics 2008-11-26 Xiang-hua Zhai , Xin-zhou Li

The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions \cite{witten}. We proposed in previous paper a…

High Energy Physics - Theory · Physics 2008-11-26 Norma Susana Mankoc Borstnik , Holger Bech Nielsen

In this paper, we investigate an alternative formulation for spin 3/2 field equation. First we will review equation of motion of Dirac and Maxwell, and then construct the equation for spin 3/2 in the similar fashion. Our method actually a…

General Physics · Physics 2008-03-17 Haryanto M. Siahaan

We present a study of the static and dynamical Casimir effects for a quantum field theory satisfying generalized Robin boundary condition, of a kind that arises naturally within the context of quantum circuits. Since those conditions may…

High Energy Physics - Theory · Physics 2015-06-15 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli
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