Geodesic
Diagram technique for the~heat kernel of the~covariant Laplace operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 1, pp. 113-132

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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, operator determinant, covariant Laplace operator, Yang–Mills theory.
Mots-clés : diagram technique 
@article{TMF_2019_198_1_a6,
     author = {A. V. Ivanov},
     title = {Diagram technique for the~heat kernel of the~covariant {Laplace} operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {113--132},
     publisher = {mathdoc},
     volume = {198},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_198_1_a6/}
}
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A. V. Ivanov. Diagram technique for the~heat kernel of the~covariant Laplace operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 1, pp. 113-132. http://geodesic.mathdoc.fr/item/TMF_2019_198_1_a6/