The Canonical Operator in Many-Particle Problems and Quantum Field Theory

Victor P. Maslov, Oleg Yu. Shvedov

ISBN 10: 3110762382 / ISBN 13: 9783110762389

Published by De Gruyter, DE, 2022

About this Item

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 Stückelberg 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.

Seller Inventory # LU-9783110762389

Bibliographic Details

• Title: The Canonical Operator in Many-Particle Problems and Quantum Field Theory
• Publisher: De Gruyter, DE
• Publication Date: 2022
• Language: English
• ISBN 10: 3110762382
• ISBN 13: 9783110762389
• Binding: Hardback
• Condition: New
• Dimensions: 16.99W x 2.69H x 24.41D centimeters 16.99 centimeters width by 2.69 centimeters height by 24.41 centimeters depth
• Weight: 920 grams

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 Stückelberg 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.