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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517

Received: 06.11.2021



© Steklov Math. Inst. of RAS, 2024