Global gauge fixing in lattice gauge theories

Journal Article · Tue Oct 15 00:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.2558· OSTI ID:5129898

Fachin, S; Parrinello, C ^[1]

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1. Physics Department, New York University, 4 Washington Place, New York, New York (USA)

We propose a covariant, nonperturbative gauge-fixing procedure for lattice gauge theories that avoids the problem of Gribov copies. This is closely related to a recent proposal for a gauge fixing in the continuum that we review. The lattice gauge-fixed model allows both analytical and numerical investigations: on the analytical side, explicit nonperturbative calculations of gauge-dependent quantities can be easily performed in the framework of a generalized strong-coupling expansion, while on the numerical side a stochastic gauge-fixing algorithm is very naturally associated with the scheme. In both applications one can study the gauge dependence of the results, since the model actually provides a smooth'' family of gauge-fixing conditions.

• OSTI ID: 5129898
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 44:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
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EUCLIDEAN SPACE
LIE GROUPS
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QUANTUM CHROMODYNAMICS
STRONG-COUPLING MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL LOGIC
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PARTICLE MODELS
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
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