Nonsmooth backgrounds in quantum field theory

Details Nonsmooth backgrounds in quantum field theory Nonsmooth backgrounds in quantum field theory

2004-04-08

arxiv.org/abs/hep-th/0404069v2

Phys.Rev.D70:045003,2004

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revtex4; v2: clarifying remarks in sec. IV

Scientific paper

10.1103/PhysRevD.70.045003

The one-loop renormalization in field theories can be formulated in terms of the heat kernel expansion. In this paper we calculate leading contributions of discontinuities of background fields and their derivatives to the heat kernel coefficients. These results are then used to estimate contributions of the discontinuities to the Casimir energy. Sign of such contribution is defined solely by the order of discontinuous derivative. We also discuss renormalization in the presence of singular (delta-function) potentials. We show that an independent surface tension counterterm is necessary. This observation seems to resolve some contradictions in previous calculations.

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