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We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

The Casimir effect for rectangular boxes has been studied for several decades. But there are still some points unclear. Recently, there are new developments related to this topic, including the demonstration of the equivalence of the…

High Energy Physics - Theory · Physics 2014-12-03 Xiang-Hua Zhai , Rui-Hui Lin , Chao-Jun Feng , Xin-Zhou Li

Vacuum fluctuations of quantum fields between physical objects depend on the shapes, positions, and internal composition of the latter. For objects of arbitrary shapes, even made from idealized materials, the calculation of the associated…

High Energy Physics - Lattice · Physics 2020-10-27 M. N. Chernodub , Harold Erbin , I. V. Grishmanovskii , V. A. Goy , A. V. Molochkov

We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces the field to vanish on a surface. We show that this…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , M. Scandurra , H. Weigel

One of the very first applications of the quantum field theoretic vacuum state was in the development of the notion of Casimir energy. Now field theoretic Casimir energies, considered individually, are always infinite. But differences in…

Quantum Physics · Physics 2019-01-30 Matt Visser

The Casimir force is a spectacular consequence of the existence of vacuum fluctuations and thus deserves a place in courses on quantum theory. We argue that the scattering approach within a one-dimensional field theory is well suited to…

Quantum Physics · Physics 2015-01-28 Gert-Ludwig Ingold , Astrid Lambrecht

The Casimir force between conducting plates at rest in an inertial frame is usually computed in equal-time quantization, the natural choice for the given boundary conditions. We show that the well-known result obtained in this way can also…

High Energy Physics - Phenomenology · Physics 2015-06-16 Sophia S. Chabysheva , John R. Hiller

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

In this note we calculate the Casimir effect of free thermal gravitons in Einstein universe and discuss how it changes the entropy bound condition proposed recently by Verlinde [hep-th/0008140] as a higher dimensional generalization of…

High Energy Physics - Theory · Physics 2009-10-31 Feng-Li Lin

The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any…

Quantum Physics · Physics 2008-12-18 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

In previous works Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to…

Quantum Physics · Physics 2009-10-28 Patrick Suppes , Adonai S. Sant'Anna , J. Acacio de Barros

Effects due to vacuum fluctuations in a semi-classical model of a massless scalar field interacting with a rotating ring are investigated by introducing a collective coordinate for the motion of the background potential. The model is solved…

Quantum Physics · Physics 2012-11-13 Martin Schaden

We compute the one-loop Casimir energy of gravity and matter fields, obeying various boundary conditions, in 5-dimensional S^1/Z_2 and 6-dimensional T^2/Z_k orbifolds. We discuss the role of the Casimir energy in possible radius…

High Energy Physics - Phenomenology · Physics 2010-05-28 Eduardo Ponton , Erich Poppitz

We propose a new approach to the Casimir effect based on classical ray optics. We define and compute the contribution of classical optical paths to the Casimir force between rigid bodies. We reproduce the standard result for parallel plates…

Quantum Physics · Physics 2008-11-26 R. L. Jaffe , A. Scardicchio

This paper studies the Casimir effect due to fractional massless Klein-Gordon field confined to parallel plates. A new kind of boundary condition called fractional Neumann condition which involves vanishing fractional derivatives of the…

High Energy Physics - Theory · Physics 2018-10-31 C. H. Eab , S. C. Lim , L. P. Teo

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniel Muller , Helio V. Fagundes

The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger's proper time method. The result thus…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , A. C. Tort

A simple method for calculating the Casimir energy for a sphere is developed which is based on a direct mode summation and counter integration in a complex plane of eigenfrequencies. The method uses only classical equations determining the…

High Energy Physics - Theory · Physics 2009-10-30 V. V. Nesterenko , I. G. Pirozhenko

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the noncompact lattice QED. We have studied the standard Casimir problem with two parallel plane surfaces (mirrors) and oblique…

High Energy Physics - Lattice · Physics 2010-05-25 Oleg Pavlovsky , Maxim Ulybyshev

We study the influence of Casimir energy on the critical field of a superconducting film, and we show that by this means it might be possible to directly measure, for the first time, the variation of Casimir energy that accompanies the…

High Energy Physics - Theory · Physics 2009-11-11 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa
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