The theory of quark confinement

TL;DR

This paper explores the analytic structure of quark and gluon Green's functions within a confinement theory based on supercritical binding, addressing unitarity issues in QCD.

Contribution

It presents a detailed analysis of the Green's functions in the context of quark confinement using supercritical binding, advancing theoretical understanding.

Findings

Analytic structure of Green's functions examined

Unitarity in confining theories discussed

Framework based on supercritical binding

Abstract

This is the second of the two last papers by V. N. Gribov concluding his 20 year long study of the problem of quark confinement in QCD. In this paper the analytic structure of quark and gluon Green's functions is investigated in the framework of the theory of confinement based on the phenomenon of supercritical binding of light quarks. The problem of unitarity in a confining theory is discussed. The write-up remained unfinished and so it is presented here. The author was planning to considerably extend the paper. The text was prepared for publication by Yu. Dokshitzer, C. Ewerz, and J. Nyiri.