Vacuum Polarization Effects on Flat Branes due to a Global Monopole

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dc.creatorde Mello, E. R. Bezerra
dc.date2006-02-22
dc.date2006-05-05
dc.date.accessioned2026-07-07T11:27:23Z
dc.date.available2026-07-07T11:27:23Z
dc.descriptionIn this paper we analyse the vacuum polarization effects associated with a massless scalar field in the higher-dimensional spacetime. Specifically we calculate the renormalized vacuum expectation value of the square of the field, $<Φ^2(x)>_{Ren}$, induced by a global monopole in the "braneworld" scenario. In this context the global monopole lives in a $n=3$ dimensional sub-manifold of the higher-dimensional (bulk) spacetime, and our Universe is represented by a transverse flat $(p-1)-$ dimensional brane. In order to develop this analysis we calculate the general Green function admitting that the scalar field propagates in the bulk. Also a general curvature coupling parameter between the field and the geometry is assumed. We explicitly show that the vacuum polarization effects depend crucially on the values attributed to $p$. We also investigate the general structure of the renormalized vacuum expectation value of the energy-momentum tensor, $<T_{μν}(x)>_{Ren.}$, for $p=3$.
dc.description21 pages, 1 figure. Accepted for publication in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0602222
dc.identifierhttp://arxiv.org/abs/hep-th/0602222
dc.identifierPhys.Rev.D73:105015,2006
dc.identifierdoi:10.1103/PhysRevD.73.105015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196134
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVacuum Polarization Effects on Flat Branes due to a Global Monopole
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