The following two papers had been nearly completed by V.N. Gribov before he passed away in summer 1997. Since these papers are the only documents on his ideas about quark confinement in QCD, the editors welcomed the proposal to publish the two manuscripts post mortem after they were edited by his wife and some of his closest friends. Even though Gribov's work on quark confinement has not led yet to a generally accepted solution of this problem - in fact some fundamental aspects are rather controversial - the publication of these unconventional and novel ideas may initiate new theoretical developments in this area. The editors consider this point a compelling reason for the publication of the two manuscripts in Eur. Phys. J. C.
Hamburg, February 26, 1999 P.M. Zerwas
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: 18 June 1999
A formulation of QCD which contains no divergences and no renormalization procedure is presented. It contains both perturbative and nonperturbative phenomena. It is shown that, due to its asymptotically free nature, the theory is not defined uniquely. The chiral symmetry breaking and the nature of the octet of pseudoscalar particles as quasi-Goldstone states are analyzed in the theory with massless and massive quarks. The U(1) problem is discussed.