Functional determinants on regions of the plane and sphere
High Energy Physics - Theory
2010-04-06 v1
Abstract
The standard formula for the change in the effective action under a conformal transformation is extended to the case when the boundary is piecewise smooth. We then find the functional determinants of the scalar Laplacian on regions of the plane obtained by stereographic projection of the fundamental domains on an orbifolded two-sphere. Examples treated are the sector of a disk and a circular crescent. The effective action on a spherical cap is also determined.
Keywords
Cite
@article{arxiv.hep-th/9310128,
title = {Functional determinants on regions of the plane and sphere},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:hep-th/9310128},
year = {2010}
}
Comments
11pp, Plain TeX, MUTP/93/24