Green functions and Euclidean fields near the bifurcate Killing horizon

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dc.creatorHaba, Z.
dc.date2007-08-13
dc.date.accessioned2026-07-07T08:28:39Z
dc.date.available2026-07-07T08:28:39Z
dc.descriptionWe approximate a Euclidean version of a D+1 dimensional manifold with a bifurcate Killing horizon by a product of a two-dimensional Rindler space and a D-1 dimensional manifold M. We obtain approximate formulas for the Green functions. We study the behaviour of Green functions near the horizon and their dimensional reduction. We show that if M is compact then the massless minimally coupled quantum field contains a zero mode which is a conformal invariant free field on R^2. Then, the Green function near the horizon can be approximated by the Green function of the two-dimensional quantum field theory. The correction term is exponentially small away from the horizon. If the volume of a geodesic ball is growing to infinity with its radius then the Green function cannot be approximated by a two-dimensional one.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0708.1742
dc.identifierhttp://arxiv.org/abs/0708.1742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137694
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleGreen functions and Euclidean fields near the bifurcate Killing horizon
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