DOI 10.1007/s100529900051
Editorial Note
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
J. Bartels
QCD at large and short distances
(annotated version)
Vladimir 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: 18 June 1999
Abstract
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.
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