Abelianization of non-Abelian lattice gauge theories

Journal Article · Sat Feb 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.R1010· OSTI ID:7277961

Gnanapragasam, B ^[1]; Sharatchandra, H S ^[2]

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1. Department of Physics, Presidency College, Madras 600005 (India)
2. The Institute of Mathematical Sciences, Madras 600113 (India)

(2+1)-dimensional pure SU(2) lattice gauge theory on a square lattice is shown to be exactly equivalent to an Abelian gauge theory on a Kagome lattice. The new dynamical variables create or annihilate a unit of an additive, color-invariant electric flux. They provide a complete (and not overcomplete) basis for physical states in the form of nonoriented allowed'' closed loops of unit flux. This also establishes 't Hooft's conjecture that a gauge theory of the Abelian subgroup is relevant for the confinement mechanism.

• OSTI ID: 7277961
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANNIHILATION
BANACH SPACE
BASIC INTERACTIONS
COLOR MODEL
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
FIELD THEORIES
GAUGE INVARIANCE
HILBERT SPACE
INTERACTIONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SPACE
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS