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We study the finite temperature Casimir effect on a pair of parallel perfectly conducting plates in Randall-Sundrum model without using scalar field analogy. Two different ways of interpreting perfectly conducting conditions are discussed.…

High Energy Physics - Theory · Physics 2014-11-21 L. P. Teo

We consider the case of a free real massive bulk scalar in D=4 dimensions, and embed two parallel plates as interfaces on which we impose non-linear boundary conditions, either Dirichlet- or Neumann-like, parameterized by a new coupling…

High Energy Physics - Theory · Physics 2025-12-11 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa , Sebbe Stouten

The Casimir effect for {mass dimension one fermion fields (sometimes called Elko)} in $3+1$ dimension is obtained using Dirichlet boundary conditions. It is shown the existence of a repulsive force four times greater than the case of the…

High Energy Physics - Theory · Physics 2017-07-03 S. H. Pereira , J. M. Hoff da Silva , Rubia dos Santos

We consider the small separation asymptotic expansions of the Casimir interaction energy and the Casimir interaction force between two parallel cylinders. The leading order terms and the next-to-leading order terms are computed…

Quantum Physics · Physics 2015-05-30 L. P. Teo

Violation of the Lorentz symmetry has important effects on physical quantities including field propagators. Therefore, in addition to the leading order, the sub-leading order of quantities may be modified. In this paper, we calculate the…

High Energy Physics - Theory · Physics 2019-03-04 Amirhosein Mojavezi , Reza Moazzemi , Mohammad Ebrahim Zomorrodian

A Lorentz symmetry violation aether-type theoretical model is considered to investigate the Casimir effect and the generation of topological mass associated with a self-interacting massive scalar fields obeying Dirichlet, Newman and mixed…

High Energy Physics - Theory · Physics 2020-08-12 M. B. Cruz , E. R. Bezerra de Mello , H. F. Santana Mota

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

High Energy Physics - Theory · Physics 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

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

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

High Energy Physics - Theory · Physics 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

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

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Alessandro Gruppuso , Benjamin Harms , Octavian Micu

We study the field theoretical model of a real scalar field in presence of spacial inhomogeneity in form of a finite width mirror (material layer). The interaction of the scalar field with the defect is described with position-dependent…

High Energy Physics - Theory · Physics 2008-07-04 I. V. Fialkovsky , V. N. Markov , Yu. M. Pis'mak

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation…

High Energy Physics - Theory · Physics 2007-05-23 Aurel Bulgac , Piotr Magierski , Andreas Wirzba

Delving into spring-like helical configurations, such as DNA within our cells, motivates physicists to inquire about the effects of such structures in the realm of quantum field theory, specifically unraveling their manifestation of…

High Energy Physics - Theory · Physics 2024-08-14 M. A. Valuyan

We consider a real massless scalar field in 3+1 dimensions satisfying a Robin boundary condition at a nonrelativistic moving mirror. Considering vacuum as the initial field state, we compute explicitly the number of particles created per…

Quantum Physics · Physics 2013-03-12 Andreson L. C. Rego , B. W. Mintz , C. Farina , Danilo T. Alves

The finite temperature Casimir effect for a scalar field in the bulk region of the two Randall-Sundrum models, RSI and RSII, is studied. We calculate the Casimir energy and the Casimir force for two parallel plates with separation $a$ on…

High Energy Physics - Theory · Physics 2010-02-02 Marianne Rypestøl , Iver Brevik

We consider the $\frac{\lambda}{4!}(\phi^{4}_{1}+\phi^{4}_{2})$ model on a d-dimensional Euclidean space, where all but one of the coordinates are unbounded. Translation invariance along the bounded coordinate, z, which lies in the interval…

High Energy Physics - Theory · Physics 2014-11-18 C. D. Fosco , N. F. Svaiter

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

High Energy Physics - Theory · Physics 2013-06-05 Dimitra Karabali , V. P. Nair

In this paper the Casimir energy density, loop corrections, and generation of topological mass are investigated for a system consisting of two interacting real and complex scalar fields. The interaction considered is the quartic interaction…

High Energy Physics - Theory · Physics 2023-07-05 A. J. D. Farias Junior , Herondy F. Santana Mota