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Invariant gauge families inherent in Abelian-gauge field theory. [Scalar dipole ghost field, free-field equations]

Technical Report:

Abstract

The framework of the Nakanishi-Lautrup formalism should be enlarged by introducing a scalar dipole ghost field B(x), which is called gauge on field, together with its pair field. By taking free Lagrangian density, Free-field equations can be described. The vacuum is defined by using a neutral vector field U..mu..(x). The state-vector space is generated by the adjoining conjugates of U..mu..sup((+))(x), and auxiliary fields B(x), B/sub 1/(x) and B/sub 2/(x), which were introduced in the form of the Lagrangian density. The physical states can be defined by the supplementary conditions of the form B/sub 1/sup((+))(x) 1 phys>=B/sub 2/sup((+))(x) 1 phys>=0. It is seen that all the field equations and all the commutators are kept form-invariant, and that the gauge parameter ..cap alpha.. is transformed into ..cap alpha..' given by ..cap alpha..'=..cap alpha..+lambda, with epsilon unchanged. The Lagrangian density is specified only by the gauge invariant parameter epsilon. The gauge structure of theory has universal meaning over whole Abelian-gauge field. C-number gauge transformation and the gauge structure in the presence of interaction are also discussed.
Publication Date:
Dec 01, 1974
Product Type:
Technical Report
Report Number:
RRK-74-17
Reference Number:
AIX-07-253099; EDB-76-077544
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTROMAGNETIC FIELDS; GAUGE INVARIANCE; LAGRANGIAN FIELD THEORY; PROCA EQUATIONS; PROPAGATOR; QUANTUM ELECTRODYNAMICS; UNIVERSE; VECTOR FIELDS; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory
OSTI ID:
7268528
Research Organizations:
Hiroshima Univ., Takehara (Japan). Research Inst. for Theoretical Physics
Country of Origin:
Japan
Language:
English
Availability:
INIS
Submitting Site:
INIS
Size:
Pages: 8
Announcement Date:
May 13, 2001

Technical Report:

Citation Formats

Yokoyama, Kan-ichi, and Kubo, Reijiro. Invariant gauge families inherent in Abelian-gauge field theory. [Scalar dipole ghost field, free-field equations]. Japan: N. p., 1974. Web.
Yokoyama, Kan-ichi, & Kubo, Reijiro. Invariant gauge families inherent in Abelian-gauge field theory. [Scalar dipole ghost field, free-field equations]. Japan.
Yokoyama, Kan-ichi, and Kubo, Reijiro. 1974. "Invariant gauge families inherent in Abelian-gauge field theory. [Scalar dipole ghost field, free-field equations]." Japan.
@misc{etde_7268528,
title = {Invariant gauge families inherent in Abelian-gauge field theory. [Scalar dipole ghost field, free-field equations]}
author = {Yokoyama, Kan-ichi, and Kubo, Reijiro}
abstractNote = {The framework of the Nakanishi-Lautrup formalism should be enlarged by introducing a scalar dipole ghost field B(x), which is called gauge on field, together with its pair field. By taking free Lagrangian density, Free-field equations can be described. The vacuum is defined by using a neutral vector field U..mu..(x). The state-vector space is generated by the adjoining conjugates of U..mu..sup((+))(x), and auxiliary fields B(x), B/sub 1/(x) and B/sub 2/(x), which were introduced in the form of the Lagrangian density. The physical states can be defined by the supplementary conditions of the form B/sub 1/sup((+))(x) 1 phys>=B/sub 2/sup((+))(x) 1 phys>=0. It is seen that all the field equations and all the commutators are kept form-invariant, and that the gauge parameter ..cap alpha.. is transformed into ..cap alpha..' given by ..cap alpha..'=..cap alpha..+lambda, with epsilon unchanged. The Lagrangian density is specified only by the gauge invariant parameter epsilon. The gauge structure of theory has universal meaning over whole Abelian-gauge field. C-number gauge transformation and the gauge structure in the presence of interaction are also discussed.}
place = {Japan}
year = {1974}
month = {Dec}
}