Green functions and dimensional reduction of quantum fields on product manifolds

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dc.creatorHaba, Z.
dc.date2007-09-20
dc.date2008-02-15
dc.date.accessioned2026-07-07T11:19:27Z
dc.date.available2026-07-07T11:19:27Z
dc.descriptionWe discuss Euclidean Green functions on product manifolds P=NxM. We show that if M is compact then the Euclidean field on P can be approximated by its zero mode which is a Euclidean field on N. We estimate the remainder of this approximation. We show that for large distances on N the remainder is small. If P=R^{D-1}xS^{beta}, where S^{beta} is a circle of radius beta, then the result reduces to the well-known approximation of the D dimensional finite temperature quantum field theory to D-1 dimensional one in the high temperature limit. Analytic continuation of Euclidean fields is discussed briefly.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0709.3227
dc.identifierhttp://arxiv.org/abs/0709.3227
dc.identifierClass.Quant.Grav.25:075005,2008
dc.identifierdoi:10.1088/0264-9381/25/7/075005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193685
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleGreen functions and dimensional reduction of quantum fields on product manifolds
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