Investigation of Laplacian gauge fixing for U(1) and SU(2) gauge fields

Journal Article · Tue Jan 31 23:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.1292· OSTI ID:6578855

Vink, J C ^[1]

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1. Department of Physics 0319, University of California at San Diego, La Jolla, California 92093 (United States)

The Laplacian gauge on the lattice is investigated numerically using U(1) and SU(2) gauge fields. The problem of Gribov ambiguities is addressed and, to assess the smoothness of the gauge-fixed configurations, they are compared to configurations fixed to the Landau gauge. The results of these comparisons with the Landau gauge indicate that Laplacian gauge fixing works very well in practice and offers a viable alternative to Landau gauge fixing. In particular we never found Gribov copies using the Laplacian gauge.

• DOE Contract Number: FG03-90ER40546
• OSTI ID: 6578855
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:3; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAPLACIAN
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
NUMERICAL ANALYSIS
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS