TY - JOUR

T1 - SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges

AU - Cucchieri, Attilio

AU - Mendes, Tereza

AU - Zwanziger, Daniel

N1 - Funding Information:
In order to get rid of the problem of spurious gauge copies, Gribov restricted \[1\] the physical configuration space to the region l~ of transverse configurations, for which the Faddeev-Popov operator is non-negative) This region is delimited by the first Gribov horizon, defined as the set of *Talk presented by A. Cucchieri. t Research partially supported by FAPESP, Brazil (Project No. 00/05047-5). ~tResearch partially supported by the National Science Foundation, grant no. PHY-0099393. 1I n the Coulomb case the transversality condition and the positiveness of the Faddeev-Popov operator are satisfied on each time slice.

PY - 2002/3

Y1 - 2002/3

N2 - We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

AB - We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

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U2 - 10.1016/S0920-5632(01)01820-5

DO - 10.1016/S0920-5632(01)01820-5

M3 - Article

AN - SCOPUS:0036524823

SN - 2405-6014

VL - 106-107

SP - 697

EP - 699

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

ER -