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arxiv: hep-th/9504029 · v1 · submitted 1995-04-06 · ✦ hep-th

The asymptotics of the Laplacian on a manifold with boundary II

Thomas P. Branson , Peter B. Gilkey , Dmitri V.Vassilevich This is my paper
classification ✦ hep-th
keywords boundarymanifoldoperatorasymptoticasymptoticscompactconditionsdifferential
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We study the fifth term in the asymptotic expansion of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with Dirichlet or Neumann boundary conditions.

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    Derives covariant quadratic expansion in extrinsic curvature of the nonlocal effective action for a massless scalar field on manifolds with boundary, extending Monge-patch results to general surfaces.