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Progress in the axiomatic quantum field theory. [Review]

Journal Article:

Abstract

The authors consider the development of mathematical methods of solving quantum field theory problems from attempts of simple perfection of usual methods of quantum mechanics by elaborating the methods of perturbation theory and S-matrix, by working out the perturbation theory for quantum electrodynamics, and by applying dispersion relations and S-matrix for strong interactions. The method of dispersion relations results in the majority of radically new ways of describing the scattering amplitude. The grave disadvantage of all the methods is that they little define the dynamics of processes. The dynamic theory in the Heisenberg representation may be constructed on the basis of the axiomatic theory of S-matrix with the casuality condition. Another axiomatic direction has been recently developed; that is the so-called algebraic axiomatics which makes use of methods of Csup(*)-algebras.
Publication Date:
Jan 01, 1975
Product Type:
Journal Article
Reference Number:
AIX-08-316305; EDB-77-116140
Resource Relation:
Journal Name: Vestn. Akad. Nauk SSSR; (USSR); Journal Volume: 1; Other Information: For English translation see the journal Vestn. USSR Acad. Sci
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; ALGEBRA; DISPERSION RELATIONS; HEISENBERG PICTURE; SCATTERING AMPLITUDES; CAUSALITY; LORENTZ INVARIANCE; PERTURBATION THEORY; REVIEWS; S MATRIX; STRONG INTERACTIONS; UNITARITY; AMPLITUDES; BASIC INTERACTIONS; DOCUMENT TYPES; FIELD THEORIES; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICS; MATRICES; 645400* - High Energy Physics- Field Theory; 645500 - High Energy Physics- Scattering Theory- (-1987)
OSTI ID:
7103428
Country of Origin:
USSR
Language:
Russian
Other Identifying Numbers:
Journal ID: CODEN: VANSA
Submitting Site:
INIS
Size:
Pages: 7-2
Announcement Date:

Journal Article:

Citation Formats

Vladimirov, V S, and Polivanov, M K. Progress in the axiomatic quantum field theory. [Review]. USSR: N. p., 1975. Web.
Vladimirov, V S, & Polivanov, M K. Progress in the axiomatic quantum field theory. [Review]. USSR.
Vladimirov, V S, and Polivanov, M K. 1975. "Progress in the axiomatic quantum field theory. [Review]." USSR.
@misc{etde_7103428,
title = {Progress in the axiomatic quantum field theory. [Review]}
author = {Vladimirov, V S, and Polivanov, M K}
abstractNote = {The authors consider the development of mathematical methods of solving quantum field theory problems from attempts of simple perfection of usual methods of quantum mechanics by elaborating the methods of perturbation theory and S-matrix, by working out the perturbation theory for quantum electrodynamics, and by applying dispersion relations and S-matrix for strong interactions. The method of dispersion relations results in the majority of radically new ways of describing the scattering amplitude. The grave disadvantage of all the methods is that they little define the dynamics of processes. The dynamic theory in the Heisenberg representation may be constructed on the basis of the axiomatic theory of S-matrix with the casuality condition. Another axiomatic direction has been recently developed; that is the so-called algebraic axiomatics which makes use of methods of Csup(*)-algebras.}
journal = {Vestn. Akad. Nauk SSSR; (USSR)}
volume = {1}
journal type = {AC}
place = {USSR}
year = {1975}
month = {Jan}
}