Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary

T. P. Branson; P. B. Gilkey; D. V. Vassilevich

doi:10.1063/1.532369

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arXiv · hep-th/9702178

Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary

T. P. Branson·P. B. Gilkey·D. V. Vassilevich

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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.

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T. P. Branson, P. B. Gilkey, D. V. Vassilevich. 2000-01-04. Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary. https://doi.org/10.1063/1.532369

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