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Quantum electrodynamics with compensating current

Journal Article:

Abstract

A formulation of quantum electrodynamics is proposed in which all the propagators and field operators are gauge invariant. It is based on an old idea of Heisenberg and Euler which consists in the introduction of the linear integrals of potentials as arguments of the exponential functions. This method is generalized by an introduction of the so-called ''compensating currents'', which ensure local, i.e. in every point of space-time, charge conservation. The linear integral method is a particular case of that proposed in this paper. As the starting point we use quantum electrodynamics with a non-zero, small photon mass (Proca theory). It is shown that, due to the presence of the compensating current, the theory is fully renormalizable in Hilbert space with positive definite scalar product. The problem of the definition of the current operator is also briefly discussed.
Authors:
Bechler, A [1] 
  1. Warsaw Univ. (Poland). Instytut Fizyki Teoretycznej
Publication Date:
Jan 01, 1974
Product Type:
Journal Article
Reference Number:
AIX-08-341316; EDB-78-047734
Resource Relation:
Journal Name: Acta Radiol., Diagn.; (Poland); Journal Volume: 5:3
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM ELECTRODYNAMICS; CURRENTS; QUANTUM OPERATORS; RENORMALIZATION; CHARGE CONSERVATION; CURRENT ALGEBRA; FIELD OPERATORS; GAUGE INVARIANCE; INTEGRALS; PROPAGATOR; ELECTRODYNAMICS; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory
OSTI ID:
5298143
Country of Origin:
Poland
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: ACRDA
Submitting Site:
INIS
Size:
Pages: 353-360
Announcement Date:

Journal Article:

Citation Formats

Bechler, A. Quantum electrodynamics with compensating current. Poland: N. p., 1974. Web.
Bechler, A. Quantum electrodynamics with compensating current. Poland.
Bechler, A. 1974. "Quantum electrodynamics with compensating current." Poland.
@misc{etde_5298143,
title = {Quantum electrodynamics with compensating current}
author = {Bechler, A}
abstractNote = {A formulation of quantum electrodynamics is proposed in which all the propagators and field operators are gauge invariant. It is based on an old idea of Heisenberg and Euler which consists in the introduction of the linear integrals of potentials as arguments of the exponential functions. This method is generalized by an introduction of the so-called ''compensating currents'', which ensure local, i.e. in every point of space-time, charge conservation. The linear integral method is a particular case of that proposed in this paper. As the starting point we use quantum electrodynamics with a non-zero, small photon mass (Proca theory). It is shown that, due to the presence of the compensating current, the theory is fully renormalizable in Hilbert space with positive definite scalar product. The problem of the definition of the current operator is also briefly discussed.}
journal = {Acta Radiol., Diagn.; (Poland)}
volume = {5:3}
journal type = {AC}
place = {Poland}
year = {1974}
month = {Jan}
}