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 -