# QCD at large and short distances (annotated version)

@article{Gribov1999QCDAL,
title={QCD at large and short distances (annotated version)},
author={V. Gribov},
journal={The European Physical Journal C - Particles and Fields},
year={1999},
volume={10},
pages={71-90}
}
• 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.
109 Citations

#### Figures from this paper

Confinement studies in QCD with Dyson-Schwinger equations
We provide a study of quantum chromodynamics with the technique of Dyson-Schwinger equations in differential form. In this way, we are able to approach the non-perturbative limit and recover, withExpand
Chiral symmetry breaking and dual gluon mass in the confining region of QCD
• Physics
• 2004
Abstract The dual Meissner effect description of QCD in the confining region provides 1 q 4 behaviour for the gluon propagator and involves the dual gluon mass m as a parameter. This is used in theExpand
Confinement and short distance physics
• Physics
• 2000
Abstract We consider non-perturbative effects at short distances in theories with confinement. The analysis is straightforward within the Abelian models in which the confinement arises on classicalExpand
New Perspectives for QCD: The Novel Effects of Final-State Interactions and Near-Conformal Effective Couplings
The effective QCD charge extracted from $\tau$ decay is remarkably constant at small momenta, implying the near-conformal behavior of hadronic interactions at small momentum transfer. TheExpand
High Energy Nuclear Interactions and QCD: an Introduction
• Physics
• 2002
The goal of these lectures, oriented towards the students just entering the field, is to provide an elementary introduction to QCD and the physics of nuclear interactions at high energies. We firstExpand
Gluon confinement criterion in QCD
Abstract We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structureExpand
QCD instantons and the soft pomeron
• Physics
• 2001
Abstract We study the role of semiclassical QCD vacuum solutions in high-energy scattering by considering the instanton contribution to hadronic cross sections. We propose a new type ofExpand
The Gribov conception of quantum chromodynamics
• Physics
• 2003
▪ Abstract Quantum chromodynamics (QCD), which describes hadrons and their interactions, is a non-Abelian gauge theory. The salient property of QCD is color confinement, quantitative understanding ofExpand
GRIBOV'S LIGHT QUARK CONFINEMENT SCENARIO
I give a brief description of Gribov's light quark confinement scenario and of the Gribov--Dyson--Schwinger equation for light quarks. It is shown that the Green function obtained from this equationExpand
The QCD running coupling
• Physics
• 2016
Abstract We review the present theoretical and empirical knowledge for α s , the fundamental coupling underlying the interactions of quarks and gluons in Quantum Chromodynamics (QCD). The dependenceExpand

#### References

SHOWING 1-5 OF 5 REFERENCES
Bound states of massless fermions as a source for new physics
The contribution of interactions at short and large distances to particle masses is discussed in the framework of the standard model.
Phys
• Rev. 177 (1969), 2426; J. S. Bell, R. Jackiw, Nuov. Cimen. 60A
• 1969
Nucl
• 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