Heat-kernel coefficients for oblique boundary conditions

Details Heat-kernel coefficients for oblique boundary conditions Heat-kernel coefficients for oblique boundary conditions

1997-06-18

arxiv.org/abs/hep-th/9706129v2

Class.Quant.Grav.14:L169-L175,1997

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, JyTeX. One reference added and minor corrections made

Scientific paper

10.1088/0264-9381/14/9/004

We calculate the heat-kernel coefficients, up to $a_2$, 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.

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