English

Fit to Gluon Propagator and Gribov Formula

High Energy Physics - Lattice 2009-10-31 v3

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

Cite

@article{arxiv.hep-lat/0012024,
  title  = {Fit to Gluon Propagator and Gribov Formula},
  author = {Attilio Cucchieri and Daniel Zwanziger},
  journal= {arXiv preprint arXiv:hep-lat/0012024},
  year   = {2009}
}

Comments

8 pages, 5 figures; minor modifications in the text; added references; corrected typos