English

Smeared heat-kernel coefficients on the ball and generalized cone

High Energy Physics - Theory 2009-10-31 v1

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 AnA_n on smooth manifolds with boundary. Supplemented by conformal transformation techniques, it is used to provide an effective scheme for the calculation of the AnA_n. As an application, the complete A5/2A_{5/2} coefficient is given.

Cite

@article{arxiv.hep-th/9803094,
  title  = {Smeared heat-kernel coefficients on the ball and generalized cone},
  author = {J. S. Dowker and Klaus Kirsten},
  journal= {arXiv preprint arXiv:hep-th/9803094},
  year   = {2009}
}

Comments

23 pages, JyTeX

R2 v1 2026-07-22T16:09:34.806Z