Heat-kernel coefficients for oblique boundary conditions
High Energy Physics - Theory
2010-04-06 v2
Abstract
We calculate the heat-kernel coefficients, up to , for a U(1) bundle on the 4-Ball for boundary conditions which are such that the normal derivative of the field at the boundary is related to a first-order operator in boundary derivatives acting on the field. The results are used to place restrictions on the general forms of the coefficients. In the specific case considered, there can be a breakdown of ellipticity.
Cite
@article{arxiv.hep-th/9706129,
title = {Heat-kernel coefficients for oblique boundary conditions},
author = {J. S. Dowker and Klaus Kirsten},
journal= {arXiv preprint arXiv:hep-th/9706129},
year = {2010}
}
Comments
9 pages, JyTeX. One reference added and minor corrections made