2008/07/31 by Christian S. Fischer, Dominik Nickel, Richard Williams · 1 citation
Physics and Astronomy · #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1140/epjc/s10052-008-0821-1
published as Eur.Phys.J.C60:47-61,2009 · 21 pages, 12 figures. Version to appear in EPJC
arxiv created 2008/11/25 · arxiv updated 2014/11/18
Some years ago Gribov developed the so-called supercritical light quark confinement scenario. Based on physical arguments he conjectured a drastic change in the analytical properties of the quark propagator when the back-reaction of Goldstone bosons (pions) is considered. We investigate this scenario and provide numerical solutions for the quark propagator in the complex plane with and without the pion back-reaction. We find no evidence for the scenario Gribov advocated. As an aside we present a novel method to solve the quark Dyson-Schwinger equation in the complex plane and discuss new characteristics of dynamical chiral symmetry breaking in our truncation scheme.