Further functional determinants
High Energy Physics - Theory
2010-04-06 v1
Abstract
Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalised cylinders are evaluated in two, three and four dimensions using conformal techniques. Both Dirichlet and Robin boundary conditions are allowed for. Some effects of non-smooth boundaries are discussed; in particular the 3-hemiball and the 3-hemishell are considered. The edge and vertex contributions to the coefficient are examined.
Cite
@article{arxiv.hep-th/9502015,
title = {Further functional determinants},
author = {J. S. Dowker and J. S. Apps},
journal= {arXiv preprint arXiv:hep-th/9502015},
year = {2010}
}
Comments
25 p,JyTex,5 figs. on request.