TY - JOUR

T1 - Fit to gluon propagator and Gribov formula

AU - Cucchieri, Attilio

AU - Zwanziger, Daniel

N1 - Funding Information:
The research of Attilio Cucchieri was partially supported by the TMR network Finite Temperature Phase Transitions in Particle Physics, EU contract No. ERBFMRX-CT97-0122 and by FAPESP, Brazil (Project No. 00/05047-5). The research of Daniel Zwanziger was partially supported by the National Science Foundation under grant PHY-0099393.

PY - 2002/1/3

Y1 - 2002/1/3

N2 - We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)-1 diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

AB - We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)-1 diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

KW - Color-Coulomb potential

KW - Confinement

KW - Gluon propagator

KW - Gribov horizon

KW - Running coupling constant

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U2 - 10.1016/S0370-2693(01)01365-X

DO - 10.1016/S0370-2693(01)01365-X

M3 - Article

AN - SCOPUS:0037011857

SN - 0370-2693

VL - 524

SP - 123

EP - 128

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -