Vacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background

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dc.creatorSpinelly, J.
dc.creatorde Mello, E. R. Bezerra
dc.date2006-11-22
dc.date2006-12-07
dc.date.accessioned2026-07-07T11:23:13Z
dc.date.available2026-07-07T11:23:13Z
dc.descriptionIn this paper we analyse the vacuum polarization effect associated with the charged massless scalar field, in the presence of magnetic flux at finite temperature, in the cosmic string background. We consider a spacetime of an idealized cosmic string which presents a magnetic field confined in a cylindrical tube of finite radius. Two different situations are taken into account in our analysis: (i) a homogeneous field inside the tube and (ii) a magnetic field proportional to $1/r$. In these two cases, the axis of the infinitely long tube of radius $R$ coincides with the cosmic string. Specifically, we calculate the effects produced by the temperature in the renormalized vacuum expectation value of the square of the charged massless scalar field, $<\hatϕ^{\ast}(x)\hatϕ(x)>$. Therefore, in order to realize these analysis, we calculate the Euclidean Green function associated with this field in this background.
dc.descriptionPaper presented at 5th International Conference on Mathematical Methods in Physics (IC 2006), Rio de Janeiro, Brazil, 24-28 Apr 2006. Small changes included
dc.identifierhttps://arxiv.org/abs/hep-th/0611239
dc.identifierhttp://arxiv.org/abs/hep-th/0611239
dc.identifierPoSIC2006:056,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194821
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVacuum Polarization in the Presence of Magnetic Flux at Finite Temperature in the Cosmic String Background
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