ANTISYMMETRIC TENSOR-FIELDS ON SPHERES - FUNCTIONAL DETERMINANTS AND NONLOCAL COUNTERTERMS

Authors
ELIZALDE E LYGREN M VASSILEVICH DV
Citation
E. Elizalde et al., ANTISYMMETRIC TENSOR-FIELDS ON SPHERES - FUNCTIONAL DETERMINANTS AND NONLOCAL COUNTERTERMS, Journal of mathematical physics, 37(7), 1996, pp. 3105-3117
Citations number
33
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
7
Year of publication
1996
Pages
3105 - 3117
Database
ISI
SICI code
0022-2488(1996)37:7<3105:ATOS-F>2.0.ZU;2-P
Abstract
The Hedge-de Rham Laplacian on spheres acting on antisymmetric tensor fields is considered. Explicit expressions for the spectrum are derive d in a quite direct way, confirming previous results. Associated 'func tional determinants and the heat kernel expansion are evaluated. Using this method, new non-local counterterms in the quantum effective acti on are obtained, which can be expressed in terms of Betti numbers. (C) 1996 American Institute of Physics.