QCD at large and short distances (annotated version)

  title={QCD at large and short distances (annotated version)},
  author={V. Gribov},
  journal={The European Physical Journal C - Particles and Fields},
  • V. Gribov
  • Published 1999
  • Physics
  • The European Physical Journal C - Particles and Fields
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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  • Rev. 177 (1969), 2426; J. S. Bell, R. Jackiw, Nuov. Cimen. 60A
  • 1969
  • Phys. B159 (1979), 357; Phys. Lett. 95B
  • 1980
Phys. Lett
  • Phys. Lett
  • 1979
Phys. Rev. J. S. Bell, R. Jackiw, Nuov. Cimen
  • Phys. Rev. J. S. Bell, R. Jackiw, Nuov. Cimen
  • 1969