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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 198, Number 1, Pages 113–132
DOI: https://doi.org/10.4213/tmf9515 (Mi tmf9515) 		 
This article is cited in 20 scientific papers (total in 20 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
Full-text PDF (500 kB) Citations (20)
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DOI: https://doi.org/10.4213/tmf9515
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.
Funding agency Grant number
Russian Science Foundation 14-11-00598
This research was supported by a grant from the Russian Science Foundation (Project No. 14-11-00598).
Received: 24.11.2017
Revised: 24.11.2017
English version:
Theoretical and Mathematical Physics, 2019, Volume 198, Issue 1, Pages 100–117
DOI: https://doi.org/10.1134/S0040577919010070
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Ivanov, “Diagram technique for the heat kernel of the covariant Laplace operator”, TMF, 198:1 (2019), 113–132; Theoret. and Math. Phys., 198:1 (2019), 100–117
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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