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The Lehmann--Symanzik--Zimmermann formalism for manifestly covariant quantum electrodynamics. [Gauge parameter]

Abstract

The Lehmann--Symanzik--Zimmermann formalism is presented for manifestly covariant quantum electrodynamics involving a gauge parameter ..cap alpha... Contrary to Kaellen's assertion, it is shown that one can consistently formulate the asymptotic condition for the electromagnetic field and construct the Fock space of asymptotic states. Except for the case of Feynman gauge (..cap alpha..=1), the formalism is somewhat complicated because of the presence of dipole ghosts, but emphasis is laid on the very existence of a consistent formalism. The completeness relation for the asymptotic states is presented so that the generalized unitarity relation can be written down. Indefinite-metric theory of a massive vector field is briefly discussed.
Authors:
Nakanishi, N [1] 
  1. Kyoto Univ. (Japan). Research Inst. for Mathematical Sciences
Publication Date:
Dec 01, 1974
Product Type:
Journal Article
Reference Number:
EDB-76-038712
Resource Relation:
Journal Name: Prog. Theor. Phys. (Kyoto); (Japan); Journal Volume: 52:6
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTROMAGNETIC FIELDS; BOUNDARY CONDITIONS; QUANTUM ELECTRODYNAMICS; LSZ THEORY; VECTOR FIELDS; METRICS; FOCK REPRESENTATION; GAUGE INVARIANCE; RELATIVITY THEORY; UNITARITY; AXIOMATIC FIELD THEORY; ELECTRODYNAMICS; FIELD THEORIES; GENERAL RELATIVITY THEORY; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory
OSTI ID:
7292570
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PTPKA
Submitting Site:
INIS
Size:
Pages: 1929-1945
Announcement Date:
Jun 01, 1976

Citation Formats

Nakanishi, N. The Lehmann--Symanzik--Zimmermann formalism for manifestly covariant quantum electrodynamics. [Gauge parameter]. Japan: N. p., 1974. Web. doi:10.1143/PTP.52.1929.
Nakanishi, N. The Lehmann--Symanzik--Zimmermann formalism for manifestly covariant quantum electrodynamics. [Gauge parameter]. Japan. https://doi.org/10.1143/PTP.52.1929
Nakanishi, N. 1974. "The Lehmann--Symanzik--Zimmermann formalism for manifestly covariant quantum electrodynamics. [Gauge parameter]." Japan. https://doi.org/10.1143/PTP.52.1929.
@misc{etde_7292570,
title = {The Lehmann--Symanzik--Zimmermann formalism for manifestly covariant quantum electrodynamics. [Gauge parameter]}
author = {Nakanishi, N}
abstractNote = {The Lehmann--Symanzik--Zimmermann formalism is presented for manifestly covariant quantum electrodynamics involving a gauge parameter ..cap alpha... Contrary to Kaellen's assertion, it is shown that one can consistently formulate the asymptotic condition for the electromagnetic field and construct the Fock space of asymptotic states. Except for the case of Feynman gauge (..cap alpha..=1), the formalism is somewhat complicated because of the presence of dipole ghosts, but emphasis is laid on the very existence of a consistent formalism. The completeness relation for the asymptotic states is presented so that the generalized unitarity relation can be written down. Indefinite-metric theory of a massive vector field is briefly discussed.}
doi = {10.1143/PTP.52.1929}
journal = []
volume = {52:6}
journal type = {AC}
place = {Japan}
year = {1974}
month = {Dec}
}