Ghost dissection
High Energy Physics - Theory
2012-02-13 v1
Abstract
We show that a necessary condition to have a positive Landau-gauge ghost propagator in d=2 Yang-Mills theories is a vanishing zero-momentum gluon propagator. Our proof is based on a careful scrutinizing of the ghost Dyson-Schwinger equation. Said otherwise, the Gribov no-pole condition forbids the occurrence of the "decoupling/massive" gluon propagator solution in d=2, in sharp contrast with d=3 and 4, but consistent with state-of-the-art lattice data.
Keywords
Cite
@article{arxiv.1202.2208,
title = {Ghost dissection},
author = {David Dudal and Nele Vandersickel and Attilio Cucchieri and Tereza Mendes},
journal= {arXiv preprint arXiv:1202.2208},
year = {2012}
}
Comments
12 pages. Talk given by D.Dudal at International Workshop on QCD Green's Functions, Confinement and Phenomenology, September 05-09, 2011 (Trento, Italy)