2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 10, 91-105
DOI 10.1007/s100529900052

The theory of quark confinement

V.N. Gribov1,2,3

1 Landau Institute for Theoretical Physics, Moscow, Russia
2 Research Institute for Particle and Nuclear Physics, Budapest, Hungary
3 Institut für Theoretische Kernphysik der Universität Bonn, Germany

Received: 15 February 1999 / Published online: 15 July 1999

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 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 as such it is presented here. The author was planning to emphasise the link between the electroweak and strong interactions, and in particular the rôle of pions (Goldstone bosons) in confinement, to present an explicit solution for bound states, and to write down an analytic model for quark and gluon Green functions corresponding to confinement.

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