The effects of the Gribov copies on the gluon and ghost propagators are investigated in SU(2) Euclidean Yang-Mills theory quantized in the maximal Abelian gauge. By following Gribov's original approach, extended to the maximal Abelian gauge, we are able to show that the diagonal component of the gluon propagator displays the characteristic Gribov type behavior. The off-diagonal component is found to be of the Yukawa type, with a dynamical mass originating from the dimension two gluon condensate, which is also taken into account. Furthermore, the off-diagonal ghost propagator exhibits infrared enhancement. Finally, we make a comparison with available lattice data.
@article{arxiv.hep-th/0609160,
title = {Gribov ambiguities in the maximal Abelian gauge},
author = {D. Dudal and M. A. L. Capri and J. A. Gracey and V. E. R. Lemes and R. F. Sobreiro and S. P. Sorella and R. Thibes and H. Verschelde},
journal= {arXiv preprint arXiv:hep-th/0609160},
year = {2011}
}
Comments
Talk presented by R.F. Sobreiro at "Infrared QCD In Rio: Propagators, Condensates And Topological Effects", (IRQCD 2006), 5-9 Jun 2006, State University of Rio de Janeiro, UERJ, Brazil. To appear in the proceedings