Towards a heat kernel expansion for the electromagnetic field interacting with a dielectric body of arbitrary form

Details Towards a heat kernel expansion for the electromagnetic field interacting with a dielectric body of arbitrary form Towards a heat kernel expansion for the electromagnetic field interacting with a dielectric body of arbitrary form

2003-12-16

arxiv.org/abs/hep-th/0312187v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, prepared using LATEX2e Rinton-P9x6.cls, contribution to the Proceedings of QFEXT-03, September 13-18, 2003, Norman, O

Scientific paper

The results on the heat kernel expansion for the electromagnetic field in the background of dielectric media are briefly reviewed. The common approaches to the calculation of the heat kernel coefficients are discussed from the viewpoint of their applicability to the electromagnetic field interacting with dielectric body of arbitrary form. Using the toy-model of scalar photons we develop multiple reflection expansion method which seems the most promising one when the field obeys dielectric-like matching conditions on an arbitrary interface and show that the heat kernel coefficients are expressible through geometric invariants of the latter.

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