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Axiomatic field theory and quantum electrodynamics: the massive case. [Gauge invariance, Maxwell equations, high momentum behavior]

Journal Article:

Abstract

Massive quantum electrodynamics of the electron is formulated as an LSZ theory of the electromagnetic field F(..mu nu..) and the electron-positron fields PSI. The interaction is introduced with the help of mathematically well defined subsidiary conditions. These are: 1) gauge invariance of the first kind, assumed to be generated by a conserved current j(..mu..); 2) the homogeneous Maxwell equations and a massive version of the inhomogeneous Maxwell equations; 3) a minimality condition concerning the high momentum behaviour of the theory. The inhomogeneous Maxwell equation is a linear differential equation connecting Fsub(..mu nu..) with the current Jsub(..mu..). No Lagrangian, no non-linear field equations, and no explicit expression of Jsub(..mu..) in terms of PSI, anti-PSI are needed. It is shown in perturbation theory that the proposed conditions fix the physically relevant (i.e. observable) quantities of the theory uniquely.
Authors:
Steinmann, O [1] 
  1. Bielefeld Univ. (F.R. Germany). Fakultaet fuer Physik
Publication Date:
Jan 01, 1975
Product Type:
Journal Article
Reference Number:
AIX-07-241359; EDB-76-094653
Resource Relation:
Journal Name: Ann. Inst. Henri Poincare, Sect. A; (France); Journal Volume: 23:1
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRONS; QUANTUM ELECTRODYNAMICS; LSZ THEORY; CURRENTS; GAUGE INVARIANCE; LINEAR MOMENTUM; MAXWELL EQUATIONS; PERTURBATION THEORY; AXIOMATIC FIELD THEORY; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; LEPTONS; QUANTUM FIELD THEORY; 645202* - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties; 645400 - High Energy Physics- Field Theory
OSTI ID:
7263213
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: AHPAA
Submitting Site:
INIS
Size:
Pages: 61-97
Announcement Date:

Journal Article:

Citation Formats

Steinmann, O. Axiomatic field theory and quantum electrodynamics: the massive case. [Gauge invariance, Maxwell equations, high momentum behavior]. France: N. p., 1975. Web.
Steinmann, O. Axiomatic field theory and quantum electrodynamics: the massive case. [Gauge invariance, Maxwell equations, high momentum behavior]. France.
Steinmann, O. 1975. "Axiomatic field theory and quantum electrodynamics: the massive case. [Gauge invariance, Maxwell equations, high momentum behavior]." France.
@misc{etde_7263213,
title = {Axiomatic field theory and quantum electrodynamics: the massive case. [Gauge invariance, Maxwell equations, high momentum behavior]}
author = {Steinmann, O}
abstractNote = {Massive quantum electrodynamics of the electron is formulated as an LSZ theory of the electromagnetic field F(..mu nu..) and the electron-positron fields PSI. The interaction is introduced with the help of mathematically well defined subsidiary conditions. These are: 1) gauge invariance of the first kind, assumed to be generated by a conserved current j(..mu..); 2) the homogeneous Maxwell equations and a massive version of the inhomogeneous Maxwell equations; 3) a minimality condition concerning the high momentum behaviour of the theory. The inhomogeneous Maxwell equation is a linear differential equation connecting Fsub(..mu nu..) with the current Jsub(..mu..). No Lagrangian, no non-linear field equations, and no explicit expression of Jsub(..mu..) in terms of PSI, anti-PSI are needed. It is shown in perturbation theory that the proposed conditions fix the physically relevant (i.e. observable) quantities of the theory uniquely.}
journal = {Ann. Inst. Henri Poincare, Sect. A; (France)}
volume = {23:1}
journal type = {AC}
place = {France}
year = {1975}
month = {Jan}
}