Further results on Functional Determinants of Laplacians in Simplicial Complexes
High Energy Physics - Theory
2008-02-03 v1 Differential Geometry
Abstract
We investigate the functional determinant of the laplacian on piece-wise flat two-dimensional surfaces, with conical singularities in the interior and/or corners on the boundary. Our results extend earlier investigations of the determinants on smooth surfaces with smooth boundaries. The differences to the smooth case are: a) different ``interaction energies'' between pairs of conical singularities than one would expect from a naive extrapolation of the results for a smooth surface; and b) ``self-energies'' of the singularities.
Keywords
Cite
@article{arxiv.hep-th/9405140,
title = {Further results on Functional Determinants of Laplacians in Simplicial Complexes},
author = {Erik Aurell and Per Salomonson},
journal= {arXiv preprint arXiv:hep-th/9405140},
year = {2008}
}