Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary
High Energy Physics - Theory
2009-10-30 v2
Abstract
Let M be a compact Riemannian manifold with smooth boundary. We study the vacuum expectation value of an operator Q by studying Tr Qe^{-tD}, where D is an operator of Laplace type on M, and where Q is a second order operator with scalar leading symbol; we impose Dirichlet or modified Neumann boundary conditions.
Cite
@article{arxiv.hep-th/9702178,
title = {Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary},
author = {T. P. Branson and P. B. Gilkey and D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/9702178},
year = {2009}
}
Comments
A sign error in Lemma 2.5 is corrected. Thanks to Arkady Tseytlin