Fit to Gluon Propagator and Gribov Formula

Preprint

12 November 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/0012024

Abstract

We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at beta = 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 equal-time 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.

Keywords

GRIBOV'S FORMULA
GLUON PROPAGATOR
PHYSICAL GLUON
PROPAGATOR
EQUAL TIME
COULOMB
LATTICE

All Related Versions

Version 1, 2000-12-20, ArXiv
Version 2, 2001-10-24, ArXiv
Version 3, 2001-11-12, ArXiv
Published version: Physics Letters B, 524 (1-2), 123.

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