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arXiv · 0807.3486

On Gribov's supercriticality picture of quark confinement

Christian S. Fischer·Dominik Nickel·Richard Williams
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Abstract

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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Christian S. Fischer, Dominik Nickel, Richard Williams. 2008-11-25. On Gribov's supercriticality picture of quark confinement. https://doi.org/10.1140/epjc%2Fs10052-008-0821-1

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