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Title: Quantum action method in quantum field theory

Abstract

A new formalism in quantum field theory in which the basic quantity is the quantum action is worked out. Such quantum action is a generating functional of one particle irreducible vertices, and it is a straightforward generalization of the conventional classical action to a quantum field theoretical setting in such a way to preserve classical symmetries. Nonlinear field equations are built from such a quantum action. The formalism is applied to the symmetric Yang-Mills theory with spontaneous symmetry breaking and it is shown to lead to Ward identies without nonphysical quantities. A number of additional aspects are then considered, such as the construction of the S-matrix and the study of its invariance, certain perturbative calculations in the quantum electodynamics, and the computation of the finite solution of the electron vertex part from the Ward identities.

Authors:
Publication Date:
OSTI Identifier:
6521843
Alternate Identifier(s):
OSTI ID: 6521843
Resource Type:
Journal Article
Journal Name:
Hadronic J.; (United States)
Additional Journal Information:
Journal Volume: 2:1
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; VERTEX FUNCTIONS; FUNCTIONALS; INVARIANCE PRINCIPLES; NONLINEAR PROBLEMS; PERTURBATION THEORY; QUANTUM ELECTRODYNAMICS; S MATRIX; SYMMETRY; WARD IDENTITY; YANG-MILLS THEORY; ELECTRODYNAMICS; FIELD THEORIES; FUNCTIONS; MATRICES 645400* -- High Energy Physics-- Field Theory

Citation Formats

Golfand, Y.A. Quantum action method in quantum field theory. United States: N. p., 1979. Web.
Golfand, Y.A. Quantum action method in quantum field theory. United States.
Golfand, Y.A. Thu . "Quantum action method in quantum field theory". United States.
@article{osti_6521843,
title = {Quantum action method in quantum field theory},
author = {Golfand, Y.A.},
abstractNote = {A new formalism in quantum field theory in which the basic quantity is the quantum action is worked out. Such quantum action is a generating functional of one particle irreducible vertices, and it is a straightforward generalization of the conventional classical action to a quantum field theoretical setting in such a way to preserve classical symmetries. Nonlinear field equations are built from such a quantum action. The formalism is applied to the symmetric Yang-Mills theory with spontaneous symmetry breaking and it is shown to lead to Ward identies without nonphysical quantities. A number of additional aspects are then considered, such as the construction of the S-matrix and the study of its invariance, certain perturbative calculations in the quantum electodynamics, and the computation of the finite solution of the electron vertex part from the Ward identities.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 2:1,
place = {United States},
year = {1979},
month = {2}
}