On Gribov's supercriticality picture of quark confinement

Details On Gribov's supercriticality picture of quark confinement On Gribov's supercriticality picture of quark confinement

2008-07-22

arxiv.org/abs/0807.3486v2

Eur.Phys.J.C60:1434-6052,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 12 figures. Version to appear in EPJC

Scientific paper

10.1140/epjc/s10052-008-0821-1

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.

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