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Title: Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models

Abstract

Vacuum expectation value of the energy-momentum tensor and the vacuum interaction forces are evaluated for a massive scalar field with general curvature coupling parameter satisfying Robin boundary conditions on two codimension one parallel branes embedded in (D+1)-dimensional background spacetime AdS{sub D{sub 1}}{sub +1}x{sigma} with a warped internal space {sigma}. The vacuum energy-momentum tensor is presented as a sum of boundary-free, single brane-induced, and interference parts. The latter is finite everywhere including the points on the branes and is exponentially small for large interbrane distances. Unlike to the purely anti-de Sitter (AdS) bulk, the part induced by a single brane, in addition to the distance from the brane, depends also on the position of the brane in the bulk. The asymptotic behavior of this part is investigated for the points near the brane and for the position of the brane close to the AdS horizon and AdS boundary. The contribution of Kaluza-Klein modes along {sigma} is discussed in various limiting cases. The vacuum forces acting on the branes are presented as a sum of the self-action and interaction terms. The first one contains well-known surface divergences and needs a further renormalization. The interaction forces between the branes are finite for allmore » nonzero interbrane distances and are investigated as functions of the brane positions and the length scale of the internal space. We show that there is a region in the space of parameters in which these forces are repulsive for small distances and attractive for large distances. As an example, the case {sigma}=S{sup D{sub 2}} is considered. An application to the higher dimensional generalization of the Randall-Sundrum brane model with arbitrary mass terms on the branes is discussed. Taking the limit with infinite curvature radius for the AdS bulk, from the general formulas we derive the results for two parallel Robin plates on background of R{sup (D{sub 1},1)}x{sigma} spacetime.« less

Authors:
 [1]
  1. Department of Physics, Yerevan State University, 1 Alex Manoogian Str. 375049 Yerevan (Armenia) and Abdus Salam International Centre for Theoretical Physics 34014 Trieste (Italy)
Publication Date:
OSTI Identifier:
20782653
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.064019; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; COSMOLOGY; COUPLING; DE SITTER GROUP; DENSITY; DIMENSIONS; DISTANCE; ENERGY-MOMENTUM TENSOR; EXPECTATION VALUE; INTERFERENCE; KALUZA-KLEIN THEORY; MASS; MEMBRANES; RENORMALIZATION; SCALAR FIELDS; SPACE-TIME; SURFACES

Citation Formats

Saharian, Aram A. Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.064019.
Saharian, Aram A. Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models. United States. https://doi.org/10.1103/PHYSREVD.73.064019
Saharian, Aram A. 2006. "Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models". United States. https://doi.org/10.1103/PHYSREVD.73.064019.
@article{osti_20782653,
title = {Bulk Casimir densities and vacuum interaction forces in higher dimensional brane models},
author = {Saharian, Aram A},
abstractNote = {Vacuum expectation value of the energy-momentum tensor and the vacuum interaction forces are evaluated for a massive scalar field with general curvature coupling parameter satisfying Robin boundary conditions on two codimension one parallel branes embedded in (D+1)-dimensional background spacetime AdS{sub D{sub 1}}{sub +1}x{sigma} with a warped internal space {sigma}. The vacuum energy-momentum tensor is presented as a sum of boundary-free, single brane-induced, and interference parts. The latter is finite everywhere including the points on the branes and is exponentially small for large interbrane distances. Unlike to the purely anti-de Sitter (AdS) bulk, the part induced by a single brane, in addition to the distance from the brane, depends also on the position of the brane in the bulk. The asymptotic behavior of this part is investigated for the points near the brane and for the position of the brane close to the AdS horizon and AdS boundary. The contribution of Kaluza-Klein modes along {sigma} is discussed in various limiting cases. The vacuum forces acting on the branes are presented as a sum of the self-action and interaction terms. The first one contains well-known surface divergences and needs a further renormalization. The interaction forces between the branes are finite for all nonzero interbrane distances and are investigated as functions of the brane positions and the length scale of the internal space. We show that there is a region in the space of parameters in which these forces are repulsive for small distances and attractive for large distances. As an example, the case {sigma}=S{sup D{sub 2}} is considered. An application to the higher dimensional generalization of the Randall-Sundrum brane model with arbitrary mass terms on the branes is discussed. Taking the limit with infinite curvature radius for the AdS bulk, from the general formulas we derive the results for two parallel Robin plates on background of R{sup (D{sub 1},1)}x{sigma} spacetime.},
doi = {10.1103/PHYSREVD.73.064019},
url = {https://www.osti.gov/biblio/20782653}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}