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We show that the standard result for the Casimir force between conducting plates at rest in an inertial frame can be computed in light-front quantization. This is not the same as light-front analyses where the plates are at "rest" in an…

High Energy Physics - Theory · Physics 2015-09-30 J. R. Hiller

In the present study, the zero- and first-order radiative correction to the Casimir energy for the massive and massless scalar field confined with mixed (Neumann-Dirichlet) boundary condition between two parallel lines in 2+1 dimensions for…

High Energy Physics - Theory · Physics 2020-06-24 M. A. Valuyan

We analyze the role of boundaries in the infrared behavior of quantum field theories. By means of a novel method we calculate the vacuum energy for a massless scalar field confined between two homogeneous parallel plates with the most…

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

We characterize the Casimir forces for the Dirac vacuum on free-fermionic chains with smoothly varying hopping amplitudes, which correspond to (1+1)D curved spacetimes with a static metric in the continuum limit. The first-order energy…

Quantum Physics · Physics 2021-01-22 Begoña Mula , Silvia N. Santalla , Javier Rodríguez-Laguna

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

The Casimir forces on two parallel plates moving by uniform proper acceleration in static de Sitter background due to conformally coupled massless scalar field satisfying Dirichlet boundary conditions on the plates is investigated. Static…

High Energy Physics - Theory · Physics 2009-11-10 M R Setare

The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in D-dimensional space are investigated. The…

High Energy Physics - Theory · Physics 2009-10-31 Aram A. Saharian

We study the vacuum polarisation effects of the Dirac fermionic field induced by a pointlike global monopole located in the cosmological de Sitter spacetime. First we derive the four orthonormal Dirac modes in this background in a closed…

High Energy Physics - Theory · Physics 2022-03-25 Md Sabir Ali , Sourav Bhattacharya

We study the Casimir effect for a bosonic string extended between D-branes, and living in a flat space with an antisymmetric background B-field. We find the Casimir energy as a function of theB-field, and the mass-parameter of the string,…

High Energy Physics - Theory · Physics 2017-02-07 Y. Koohsarian , A. Shirzad

Casimir forces of massive fermionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions.It is shown that in the range of ma>>1 where m is mass of fields…

Quantum Physics · Physics 2012-08-27 Amir H. Abbassi &A. R. Sadre Momtaz

We study the system of a massive fermion field confined between two parallel plates, where the properties of both plates are discussed under chiral MIT boundary conditions. We investigate the effects of the chiral angle on the Casimir…

High Energy Physics - Theory · Physics 2023-02-13 Ar Rohim , Apriadi Salim Adam , Kazuhiro Yamamoto

We study the Casimir vacuum energy density and the Casimir pressure for a massless scalar field confined between two nearby parallel plates in a slightly curved, static spacetime background, employing the weak field approximation in the…

General Relativity and Quantum Cosmology · Physics 2017-04-19 G. Lambiase , A. Stabile , An. Stabile

We compute the $O(\lambda)$ correction to the Casimir energy for the massive $\lambda\phi^4$ model confined between a pair of parallel plates. The calculations are made with Dirichlet and Neumann boundary conditions. The correction is shown…

High Energy Physics - Theory · Physics 2007-05-23 F. A. Barone , R. M. Cavalcanti , C. Farina

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier

We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions. The…

High Energy Physics - Theory · Physics 2013-09-13 V. K. Oikonomou

Several years ago we demonstrated that the Casimir energy for perfectly reflecting and imperfectly reflecting parallel plates gravitated normally, that is, obeyed the equivalence principle. At that time the divergences in the theory were…

High Energy Physics - Theory · Physics 2024-04-08 K. A. Milton , K. V. Shajesh , S. A. Fulling , Prachi Parashar

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two…

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti , C. Farina , F. A. Barone

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2009-11-07 Kimball A. Milton

We formulate fermionic versions, for any number of spatial dimensions, of the van der Waals and Casimir-Polder interactions, and study their properties. In both cases, the systems we introduce contain localized `atoms': two-level systems,…

High Energy Physics - Theory · Physics 2024-11-20 C. D. Fosco , G. Hansen