Quantum effects in anti-de Sitter spacetime for the electromagnetic vacuum

Kotanjian, Anna; Saharian, A. A.; Sargsyan, H. G.; Simonyan, D. H.

doi:10.22323/1.262.0021

Cited by 1 publication

(2 citation statements)

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“…In the region z < z 1 the VEV of the energy-momentum tensor is given by (6.4) with j = 1 and with the replacements I ⇄ K. The VEV in the region z > z 2 is given by (6.4) with j = 2. The boundary-induced VEVs in the geometry of a single plate and for the boundary condition (2.4) have been previously investigated in [19]- [22]. For the same boundary condition, a part of the results concerning the VEV of the energy-momentum tensor in the region between the plates has been presented at the 10th Alexander Friedmann International Conference [29].…”

Section: Vev Of the Energy-momentum Tensormentioning

confidence: 99%

“…The electromagnetic Casimir energy and the forces acting on the branes in 5D Randall-Sundrum model have been investigated in [9,10] for perfectly conducting boundary condition. For the same boundary condition, the two-point functions and the vacuum expectation value of the energymomentum tensor in the geometry of a single plate on AdS bulk with general number of spatial dimensions were considered in [19]- [22]. The electromagnetic Casimir effect in de Sitter spacetime for planar boundaries has been discussed in [23,24].…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds

Saharian,

Kotanjyan,

Sargsyan

2020

Preprint

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We evaluate the correlators for the vector potential and for the field strength tensor of the electromagnetic field in the geometry of two parallel planar plates in AdS spacetime. Two types of boundary conditions are considered on the plates. The first one is a generalization of perfect conductor boundary condition and the second one corresponds to the confining boundary conditions. By using the expressions for the correlators, the vacuum expectation values (VEVs) of the photon condensate and of the electric and magnetic fields squared are investigated. As another important local characteristic of the vacuum state we consider the VEV of the energy-momentum tensor. The Casimir forces acting on the plates are decomposed into the self-action and interaction parts. It is shown that the interaction forces are attractive for both types of boundary conditions. At separations between the plates larger than the curvature radius of the background geometry they decay exponentially as functions of the proper distance. The self-action force per unit surface of a single plate does not depend on its location and depending on the boundary condition and on the number of spatial dimensions can be either attractive or repulsive with respect to the AdS boundary. By using the generalized zeta function technique we also evaluate the total Casimir energy. Applications are given in Z 2 -symmetric braneworld models of the Randall-Sundrum type for vector fields with even and odd parities.

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Section: Vev Of the Energy-momentum Tensormentioning

confidence: 99%