Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms
High Energy Physics - Theory
2009-10-30 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9602113,
title = {Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms},
author = {E. Elizalde and M. Lygren and D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/9602113},
year = {2009}
}
Comments
LaTeX, 22 pages, no figures