Local heat kernel

A. V. Ivanov

Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 136-152

Résumé

The paper is devoted to a local heat kernel, which is a special component of the standard heat kernel. Localization means that all considerations are performed in an open convex subset of a smooth Riemannian manifold. We discuss such properties and concepts as uniqueness, a symmetry of the Seeley–DeWitt coefficients, extension to the entire manifold, a family of special functions, and the late-time asymptotic behavior using the path integral approach.

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