Title: The Canonical Operator in Many-Particle Problems and Quantum Field Theory (De Gruyter Expositions in Mathematics, 71)
Publisher: De Gruyter
Publication Date: 2022
Language: English
ISBN 10: 3110762382
ISBN 13: 9783110762389
Binding: Hardcover
Condition: New

About this title

Synopsis

In this monograph we study the problem of construction of asymptotic solutions of equations for functions whose number of arguments tends to infinity as the small parameter tends to zero. Such equations arise in statistical physics and in quantum theory of a large number of fi elds. We consider the problem of renormalization of quantum field theory in the Hamiltonian formalism, which encounters additional difficulties related to the St�ckelberg divergences and the Haag theorem. Asymptotic methods for solving pseudodifferential equations with small parameter multiplying the derivatives, as well as the asymptotic methods developed in the present monograph for solving problems in statistical physics and quantum field theory, can be considered from a unified viewpoint if one introduces the notion of abstract canonical operator. The book can be of interest for researchers – specialists in asymptotic methods, statistical physics, and quantum fi eld theory as well as for graduate and undergraduate students of these specialities.

About the Author

V. P. Maslov, MIEM/HSE School of Applied Mathematics, Russia; O. Y. Shvedov, Lomonosov Moscow State University, Russia.

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