Smeared heat-kernel coefficients on the ball and generalized cone

Details Smeared heat-kernel coefficients on the ball and generalized cone Smeared heat-kernel coefficients on the ball and generalized cone

1998-03-11

arxiv.org/abs/hep-th/9803094v1

J.Math.Phys. 42 (2001) 434-452

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, JyTeX

Scientific paper

10.1063/1.1285969

We consider smeared zeta functions and heat-kernel coefficients on the bounded, generalized cone in arbitrary dimensions. The specific case of a ball is analysed in detail and used to restrict the form of the heat-kernel coefficients $A_n$ on smooth manifolds with boundary. Supplemented by conformal transformation techniques, it is used to provide an effective scheme for the calculation of the $A_n$. As an application, the complete $A_{5/2}$ coefficient is given.

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