Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory

Journal Article · Wed Apr 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.074504· OSTI ID:21308185

Bornyakov, V G; Mitrjushkin, V K; Mueller-Preussker, M ^[1]

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1. Institute for High Energy Physics, 142281, Protvino (Russian Federation) and Institute of Theoretical and Experimental Physics, 117259 Moscow (Russian Federation)

For SU(2) lattice gauge theory, we study numerically the infrared behavior of the Landau-gauge ghost and gluon propagators with a special accent on the Gribov copy dependence. Applying a very efficient gauge-fixing procedure and generating up to 80 gauge copies, we find that the Gribov copy effect for both propagators is essential in the infrared. In particular, our best copy dressing function of the ghost propagator approaches a plateau in the infrared, while for the random first copy it continues to grow. Our best copy zero-momentum gluon propagator shows a tendency to decrease with growing lattice size, which excludes singular solutions. Our results seem compatible with the so-called decoupling solution with a nonsingular gluon propagator. However, we do not yet consider the Gribov copy problem to be resolved.

• OSTI ID: 21308185
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
DECOUPLING
GAUGE INVARIANCE
GLUONS
LATTICE FIELD THEORY
MATHEMATICAL SOLUTIONS
PROPAGATOR
RANDOMNESS
SU-2 GROUPS