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Theoretical and Mathematical Physics

, Volume 198, Issue 1, pp 100–117 | Cite as

Diagram Technique for the Heat Kernel of the Covariant Laplace Operator

  • A. V. IvanovEmail author
Article
  • 6 Downloads

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.

Keywords

heat kernel Seeley–DeWitt coefficient gauge connection diagram technique operator determinant covariant Laplace operator Yang–Mills theory 

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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of SciencesSt. PetersburgRussia

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