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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 509, Pages 123–152 (Mi znsl7184)  

Quantum field theory on the example of the simplest cubic model

A. V. Ivanovab, M. A. Russkikhba

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Euler International Mathematical Institute, St. Petersburg
References:
Abstract: The paper is devoted to the description of the basic tools of quantum field theory on the example of the simplest cubic model. We introduce concepts such as the functional integral, generating functions, the background field method and the Feynman diagram technique, as well as consider the connections between them. The model in question allows you to perform all calculations explicitly. We also provide all the necessary proofs and derivations.
Key words and phrases: cubic model, functional integral, generating functions, background field method, Feynman diagram.
Received: 06.11.2021
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Ivanov, M. A. Russkikh, “Quantum field theory on the example of the simplest cubic model”, Questions of quantum field theory and statistical physics. Part 28, Zap. Nauchn. Sem. POMI, 509, POMI, St. Petersburg, 2021, 123–152
Citation in format AMSBIB
\Bibitem{IvaRus21}
\by A.~V.~Ivanov, M.~A.~Russkikh
\paper Quantum field theory on the example of the simplest cubic model
\inbook Questions of quantum field theory and statistical physics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 509
\pages 123--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7184}
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  • https://www.mathnet.ru/eng/znsl7184
  • https://www.mathnet.ru/eng/znsl/v509/p123
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