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arXiv · hep-th/9803094

Smeared heat-kernel coefficients on the ball and generalized cone

J. S. Dowker·Klaus Kirsten
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Abstract

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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J. S. Dowker, Klaus Kirsten. 1998-03-11. Smeared heat-kernel coefficients on the ball and generalized cone. https://doi.org/10.1063/1.1285969

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