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Related papers: Casimir Effect for a Massive Scalar Field in Loren…

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We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the $(D+1)$-dimensional Minkowski spacetime. Different combinations of perfectly conducting and…

Quantum Physics · Physics 2011-08-08 L. P. Teo

In this work, we obtain the Casimir energy for the real scalar field and the Elko neutral spinor field in a field theory at a Lifshitz fixed point (LP). We analyze the massless and the massive case for both fields using dimensional…

High Energy Physics - Theory · Physics 2020-05-20 R. V. Maluf , D. M. Dantas , C. A. S. Almeida

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane.…

High Energy Physics - Theory · Physics 2025-09-03 Joás Venâncio , Lameque Filho , Herondy Mota , Azadeh Mohammadi

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

The Casimir effect giving rise to an attractive force between the closely spaced two concentric spheres that confine the massless scalar field is calculated by using a direct mode summation with contour integration in the complex plane of…

Quantum Physics · Physics 2012-07-19 Mustafa Ozcan

Field models with $n$ extra spatial dimensions have a larger $SO(1,3+n)$ Lorentz symmetry which is broken down to the standard $SO(1,3)$ four dimensional one by the compactification process. By considering Lorentz violating operators in a…

High Energy Physics - Theory · Physics 2020-11-25 J. D. García-Aguilar , A. Pérez-Lorenzana

We review and assess a part of the recent work on Casimir apparatuses in the weak gravitational field of the Earth. For a free, real massless scalar field subject to Dirichlet or Neumann boundary conditions on the parallel plates, the…

High Energy Physics - Theory · Physics 2010-10-19 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , George M. Napolitano , Luigi Rosa

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar…

High Energy Physics - Theory · Physics 2007-05-23 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

The Casimir effect for photons and Dirac fermion fields, and its generalization to $(D+1)$-dimensional spacetime in the continuum, is studied. We implement MIT bag boundary conditions on the lattice by treating the system as a confined…

High Energy Physics - Lattice · Physics 2026-04-01 Yash V. Mandlecha

This paper continues the investigation of the Casimir effect with the use of the algebraic formulation of quantum field theory in the initial value setting. Basing on earlier papers by one of us (AH) we approximate the Dirichlet and Neumann…

High Energy Physics - Theory · Physics 2010-11-15 Andrzej Herdegen , Mariusz Stopa

The infrared behavior of quantum field theories confined in bounded domains is strongly dependent on the shape and structure of space boundaries. The most significant physical effect arises in the behaviour of the vacuum energy. The Casimir…

High Energy Physics - Theory · Physics 2013-07-16 M. Asorey , J. M. Munoz-Castaneda

The Casimir effect for a scalar field in presence of delta-type potentials has been investigated for a long time in the case of surface delta functions, modelling semi-transparent boundaries. More recently Albeverio, Cacciapuoti, Cognola,…

Mathematical Physics · Physics 2018-09-07 Davide Fermi , Livio Pizzocchero

We present non-perturbative results of the Casimir potential in non-abelian gauge theories in (2+1)D and (3+1)D for SU(2) and SU(3) in the confined and deconfined phases. For the first time, geometries beyond parallel plates in (3+1)D…

High Energy Physics - Lattice · Physics 2025-05-07 Blessed Arthur Ngwenya

We present both analytical and numerical results for the behaviour of the Casimir force in a Ginzburg-Landau type model of a film of a simple fluid or binary liquid mixture in which the confining surfaces are strongly adsorbing but…

Statistical Mechanics · Physics 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

The Casimir effect for a massless scalar field on the helix boundary condition which is named as quantum spring is studied in our recent paper\cite{Feng}. In this paper, the Casimir effect of the quantum spring is investigated in…

High Energy Physics - Theory · Physics 2011-04-08 Xiang-hua Zhai , Xin-zhou Li , Chao-Jun Feng

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

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

We study the renormalizable abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The renormalizability is achieved by supplementing the standard kinetic term of vector fields with higher…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Andrianov , R. Soldati , L. Sorbo

Critical Casimir effect appears when critical fluctuations of an order parameter interact with classical boundaries. We investigate this effect in the setting of a Landau-Ginzburg model with continuous symmetry in the presence of quenched…

Soft Condensed Matter · Physics 2024-04-10 G. O. Heymans , N. F. Svaiter , B. F. Svaiter , G. Krein

In the present paper we investigate thermal fluctuation corrections to the vacuum energy at zero temperature of a conformally coupled massless scalar field whose modes propagate in the Einstein universe with a spherical boundary,…

High Energy Physics - Theory · Physics 2022-11-18 Herondy F. S. Mota , Celio R. Muniz , Valdir B. Bezerra