Diagram technique for the heat kernel of the covariant Laplace operator

Abstract

We present a diagram technique used to calculate the Seeley-DeWitt coefficients for a covariant Laplace operator. We use the combinatorial properties of the coefficients to construct a matrix formalism and derive a formula for an arbitrary coefficient.

arXiv commentLaTeX, 20 pages, 16 figures, presented at QFTHEP'2017 and CQIS-2017. In this version of paper some arithmetic mistakes were corrected

References in corpus (5)

• Heat kernel expansion: user's manual
• Index-free Heat Kernel Coefficients
• Three-Loop Yang-Mills beta-Function via the Covariant Background Field Method
• Spectral action beyond the weak-field approximation
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