Ghost dissection

Details Ghost dissection Ghost dissection

2012-02-10

arxiv.org/abs/1202.2208v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. Talk given by D.Dudal at International Workshop on QCD Green's Functions, Confinement and Phenomenology, September 0

Scientific paper

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.

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