2012/02/10 by Dudal, David, Vandersickel, Nele, Cucchieri, Attilio +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1202.2208
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.