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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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A sign error in Lemma 2.5 is corrected. Thanks to Arkady Tseytlin

Scientific paper

10.1063/1.532369

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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