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The quantum Casimir condensate of a conformal massive scalar field in a compact Friedmann universe is considered in the static approximation. The Abel-Plana formula is used for renormalization of divergent series in the condensate…

General Relativity and Quantum Cosmology · Physics 2018-09-05 Andrej B. Arbuzov , Alexander E. Pavlov

In this paper we examine Casimir effect in the case of tachyonic field, which is connected with particles with negative four-momentum square. We consider here only the case of one dimensional, scalar field. In order to describe tachyonic…

High Energy Physics - Theory · Physics 2015-06-26 Marcin Ostrowski

We compute the renormalised energy momentum tensor of a free scalar field coupled to gravity on an (n+1)-dimensional Einstein Static Universe (ESU), RxS^n, with arbitrary low energy effective operators (up to mass dimension n+1). A generic…

High Energy Physics - Theory · Physics 2008-11-26 Carlos A. R. Herdeiro , Raquel H. Ribeiro , Marco Sampaio

The vacuum energies corresponding to massive Dirac fields with the boundary conditions of the MIT bag model are obtained. The calculations are done with the fields occupying the regions inside and outside the bag, separately. The…

High Energy Physics - Theory · Physics 2008-11-26 E. Elizalde , M. Bordag , K. Kirsten

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we…

High Energy Physics - Theory · Physics 2007-05-23 Marcin Ostrowski

The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical bag is obtained. The field is considered, separately, inside and outside the bag. The renormalization procedure that is necessary…

High Energy Physics - Theory · Physics 2008-11-26 M. Bordag , K. Kirsten , E. Elizalde , S. Leseduarte

An oldish question is resurrected concerning the significance of the ambiguous `b-type' terms encountered in calculations of the vacuum, Casimir energy on the Einstein Universe for conformally coupled scalar fields. Some remarks in the…

High Energy Physics - Theory · Physics 2024-03-07 J. S. Dowker

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet…

Quantum Physics · Physics 2018-03-23 Michael Bordag , Irina G. Pirozhenko

We investigate quantum vacuum effects for a massive scalar field, induced by two planar boundaries in background of a linearly expanding spatially flat Friedmann-Robertson-Walker spacetime for an arbitrary number of spatial dimensions. For…

High Energy Physics - Theory · Physics 2020-02-18 A. A. Saharian , T. A. Petrosyan , S. V. Abajyan , B. B. Nersisyan

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

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in \phi^4 theory was computed. Two issues…

High Energy Physics - Theory · Physics 2019-12-10 M. A. Valuyan

We review a simple technique for evaluating the vacuum energy stemming from non-trivial boundary conditions and review results for the Casimir energy of a massive fermionic field confined in a d+1-dimensional slab-bag and the effect of a…

Quantum Physics · Physics 2009-11-11 F C Santos , A C Tort , E Elizalde

One of the most efficient methods for the evaluation of the vacuum expectation values for physical observables in the Casimir effect is based on using the Abel-Plana summation formula. This enables to derive the renormalized quantities in a…

High Energy Physics - Theory · Physics 2007-12-03 A. A. Saharian

We review different computation methods for the renormalised energy momentum tensor of a quantised scalar field in an Einstein Static Universe. For the extensively studied conformally coupled case we check their equivalence; for different…

High Energy Physics - Theory · Physics 2014-11-18 Carlos A. R. Herdeiro , Marco Sampaio

One of the most efficient methods to obtain the vacuum expectation values for the physical observables in the Casimir effect is based on the using the Abel-Plana summation formula. This allows to derive the regularized quantities by…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Saharian

The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on…

High Energy Physics - Theory · Physics 2011-07-19 R. M. Avagyan , A. A. Saharian , A. H. Yeranyan

We evaluate the fermionic Casimir effect associated with a massive fermion confined within a planar (d+1) dimensional slab-bag, on which MIT bag model boundary conditions of standard type, along a single spatial direction, are imposed. A…

High Energy Physics - Theory · Physics 2009-11-07 E. Elizalde , F. C. Santos , A. C. Tort

In this paper we investigate the vacuum polarization effects associated with a massive fermionic field due to the non-trivial topology of the global monopole spacetime and boundary conditions imposed on this field. Specifically we…

High Energy Physics - Theory · Physics 2009-11-11 E. R. Bezerra de Mello , A. A. Saharian

The quantum vacuum effects are investigated for a massive scalar field with general curvature coupling and obeying the Robin boundary conditions given on two concentric spherical shells with radii $a $ and $b$ in the $D+1$-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 A. A. Saharian , M. R. Setare

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
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