The Gribov conception of quantum chromodynamics

Abstract

Quantum chromodynamics (QCD), which describes hadrons and their interactions, is a non-Abelian gauge theory. The salient property of QCD is color confinement, quantitative understanding of which still remains a challenge. Major contributions to understanding quantum dynamics of non-Abelian fields are due to V.N. Gribov, both in the framework of pure gluodynamics (Gribov copies, Gribov horizon) and in the quest for confinement in the presence of light quarks (supercritical confinement scenario). We discuss Gribov's approach to the confinement problem and review some recent developments that are motivated, directly or indirectly, by his ideas. QCD, confinement, nonperturbative effects.