Gluon Propagators in 3D SU(2) Theory and Effects of Gribov Copies
V. G. Bornyakov, V. K. Mitrjushkin, R. N. Rogalyov
TL;DR
This study investigates the infrared behavior of gluon propagators in 3D SU(2) gauge theory, emphasizing the impact of Gribov copies and demonstrating that the zero-momentum propagator remains finite in the infinite-volume limit.
Contribution
It provides a detailed numerical analysis of Gribov copy effects on gluon propagators in 3D SU(2) theory using extensive gauge fixing and large gauge copy samples.
Findings
Gribov copy effects are significant in the infrared region.
Zero-momentum propagator does not vanish in the infinite-volume limit.
Large number of gauge copies improves the accuracy of gauge fixing.
Abstract
Infrared behavior of the Landau gauge gluon propagators is studied numerically in the 3d SU(2) gauge theory on the lattice. A special accent is made on the study of Gribov copy effect. For this study we employ an efficient gauge-fixing algorithm and a large number of gauge copies (up to 280 copies per configuration). It is shown that, in the deep infrared region, the Gribov copy effects are very significant. Also we show that, in the infinite-volume limit, the zero-momentum value of the propagator does not vanish.
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