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Ward-Takahashi identities in quantum electrodynamics

Abstract

The Ward-Takahashi identities are derived for connected Green's functions in quantum electrodynamics without recourse to equal-time commutation relations, field equations and the Feynman-Dyson perturbation expansions. The argument is based on the dispersion formulation of field theories and only finite expressions are used throughout this derivation. These identities are shown to be consequences of the subtraction conditions imposed upon the 2-, 3- and 4-point Green's functions.
Authors:
Nishijima, K; Sasaki, R [1] 
  1. Tokyo Univ. (Japan). Dept. of Physics
Publication Date:
Mar 01, 1975
Product Type:
Journal Article
Reference Number:
AIX-07-242897; EDB-76-077552
Resource Relation:
Journal Name: Prog. Theor. Phys. (Kyoto); (Japan); Journal Volume: 53:3
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM ELECTRODYNAMICS; WARD IDENTITY; COMMUTATION RELATIONS; DISPERSION RELATIONS; FIELD EQUATIONS; GAUGE INVARIANCE; GREEN FUNCTION; PERTURBATION THEORY; RENORMALIZATION; UNITARITY; ELECTRODYNAMICS; EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory
OSTI ID:
7268524
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PTPKA
Submitting Site:
INIS
Size:
Pages: 829-841
Announcement Date:
Jul 01, 1976

Citation Formats

Nishijima, K, and Sasaki, R. Ward-Takahashi identities in quantum electrodynamics. Japan: N. p., 1975. Web. doi:10.1143/PTP.53.829.
Nishijima, K, & Sasaki, R. Ward-Takahashi identities in quantum electrodynamics. Japan. https://doi.org/10.1143/PTP.53.829
Nishijima, K, and Sasaki, R. 1975. "Ward-Takahashi identities in quantum electrodynamics." Japan. https://doi.org/10.1143/PTP.53.829.
@misc{etde_7268524,
title = {Ward-Takahashi identities in quantum electrodynamics}
author = {Nishijima, K, and Sasaki, R}
abstractNote = {The Ward-Takahashi identities are derived for connected Green's functions in quantum electrodynamics without recourse to equal-time commutation relations, field equations and the Feynman-Dyson perturbation expansions. The argument is based on the dispersion formulation of field theories and only finite expressions are used throughout this derivation. These identities are shown to be consequences of the subtraction conditions imposed upon the 2-, 3- and 4-point Green's functions.}
doi = {10.1143/PTP.53.829}
journal = []
volume = {53:3}
journal type = {AC}
place = {Japan}
year = {1975}
month = {Mar}
}