Color distribution of confining electric flux in Abelian projection gauges

Journal Article · Fri Dec 15 04:00:00 EST 1989 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.4167· OSTI ID:6981667

Greensite, J; Winchester, J ^[1]

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1. Physics and Astronomy Department, San Francisco State University, 1600 Holloway Avenue, San Francisco, California 94132 (USA)

A numerical test is carried out on one of the predictions of 't Hooft's Abelian projection'' theory of quark confinement via monopole condensation. This theory predicts that in certain gauges the color-electric field {ital E}{sub {ital k}}{sup {ital ab}} of a confining flux tube is diagonal in the color indices {ital ab}. Diagonality of the {ital E} field is tested by Monte Carlo simulation of SU(2) lattice gauge theory, using a field-strength gauge ({ital F}{sub 12} diagonal) proposed by 't Hooft, and also the maximal Abelian gauge'' of Kronfeld {ital et} {ital al}. In the field-strength gauge it is found that the color distribution of the confining electric field is completely random, while in the maximal Abelian gauge there is only a rather modest enhancement of the diagonal component above its random value, at coupling {beta}=2.4. These data do not support the validity of the Abelian projection theory.

• OSTI ID: 6981667
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 40:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COLOR MODEL
COMPOSITE MODELS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICS
MONOPOLES
MONTE CARLO METHOD
NUMERICAL ANALYSIS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS