A. V. Ivanov, “Diagram technique for the heat kernel of the covariant Laplace operator”, TMF, 2019, Volume 198, Number 1,Pages <nobr>113

This article is cited in 19 papers

Diagram technique for the heat kernel of the covariant Laplace operator

A. V. Ivanov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

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.

Received: 24.11.2017
Revised: 24.11.2017

DOI: 10.4213/tmf9515