Global gauge fixing in lattice gauge theories

Journal Article · Tue Oct 15 04:00:00 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), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
EUCLIDEAN SPACE
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PROBABILITY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
STRONG-COUPLING MODEL
SYMMETRY GROUPS