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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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