Multiple reflection expansion and heat kernel coefficients

Details Multiple reflection expansion and heat kernel coefficients Multiple reflection expansion and heat kernel coefficients

2001-03-06

arxiv.org/abs/hep-th/0103037v2

Phys.Rev.D64:045017,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, corrected for some misprints

Scientific paper

10.1103/PhysRevD.64.045017

We propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be non-convergent.

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