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Scalar Green's functions in an Euclidean space with a conical-type line singularity

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Abstract

In an Euclidean space with a conical-type line singularity, we determine the Green's function for a charged massive scalar field interacting with a magnetic flux running through the line singularity. We give an integral expression of the Green's function and a local form in the neighbourhood of the point source, where it is the sum of the usual Green's function in Euclidean space and a regular term. As an application, we derive the vacuum energy-momentum tensor in the massless case for an arbitrary magnetic flux.

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Authors and Affiliations

  1. Laboratoire de Gravitation et Cosmologie Relativistes, CNRS/URA 769, Université Pierre et Marie Curie, Tour 22/12, Boîte Courrier 142, 4, Place Jussieu, F-75252, Paris Cedex 05, France

    M. E. X. Guimarães & B. Linet

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  1. M. E. X. Guimarães
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  2. B. Linet
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Communicated by G. Felder

Supported by a grant from CNPq (Brazilian government agency FA)

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Guimarães, M.E.X., Linet, B. Scalar Green's functions in an Euclidean space with a conical-type line singularity. Commun.Math. Phys. 165, 297–310 (1994). https://doi.org/10.1007/BF02099773

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  • DOI: https://doi.org/10.1007/BF02099773

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