Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms

Details Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms

1996-02-21

arxiv.org/abs/hep-th/9602113v1

J.Math.Phys. 37 (1996) 3105-3117

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 22 pages, no figures

Scientific paper

10.1063/1.531558

The Hodge--de Rham Laplacian on spheres acting on antisymmetric tensor fields is considered. Explicit expressions for the spectrum are derived in a quite direct way, confirming previous results. Associated functional determinants and the heat kernel expansion are evaluated. Using this method, new non--local counterterms in the quantum effective action are obtained, which can be expressed in terms of Betti numbers.

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