Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities

Details Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities

1994-05-22

arxiv.org/abs/hep-th/9405143v1

Phys.Lett. B334 (1994) 53-60

Physics

High Energy Physics

High Energy Physics - Theory

preprint DSF-13/94, 13 pages, latex file

Scientific paper

10.1016/0370-2693(94)90590-8

Geometrical form of the one-loop divergences induced by conical singularities of background manifolds is studied. To this aim the heat kernel asymptotic expansion on spaces having the structure $C_{\alpha}\times \Sigma$ near singular surface $\Sigma$ is analysed. Surface corrections to standard second and third heat coefficients are obtained explicitly in terms of angle $\alpha$ of a cone $C_{\alpha}$ and components of the Riemann tensor. These results are compared to ones to be already known for some particular cases. Physical aspects of the surface divergences are shortly discussed.

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