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Path integral formulae for heat kernels and their derivatives - MaRDI portal

Path integral formulae for heat kernels and their derivatives (Q1326331)

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scientific article; zbMATH DE number 569064
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Path integral formulae for heat kernels and their derivatives
scientific article; zbMATH DE number 569064

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    Path integral formulae for heat kernels and their derivatives (English)
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    18 May 1994
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    The heat kernel and its derivatives of a vector Laplacian on the sections of a bundle over a compact Riemannian manifold are expressed as products of the scalar heat kernel of the manifold and path integrals over the Brownian bridge. The small-time asymptotics of these integrals are computed.
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    Brownian motion
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    heat kernel
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    path integrals
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