The Gribov Conception of Quantum Chromodynamics

Abstract

A major contribution to the quest of constructing quantum dynamics of non-Abelian fieds is due to V.N. Gribov. Perturbative approach to the colour confinement, both in gluodynamics and the real world, was long considered heretic but is gaining ground. We discuss Gribov's approach to the confinement problem, centered around the role played by light quarks - the supercritical light quark confinement scenario. We also review some recent developments that are motivated, directly or indirectly, by his ideas.

60 pages, 6 figures

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• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Bound-state formation for thermal relic dark matter and unitarity
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
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• Self-interacting asymmetric dark matter coupled to a light massive dark photon
• Universal Effective Hadron Dynamics from Superconformal Algebra
• On Gribov's supercriticality picture of quark confinement
• Massless Mode and Positivity Violation in Hot QCD
• Baryon and meson screening masses
• Flavour symmetry breaking in the kaon parton distribution amplitude
• Transport coefficients of the Gribov-Zwanziger plasma
• Color confinement and screening in the $\theta$ -vacuum
• NJL model derived from QCD
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
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• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks
• LPM effect as the origin of the jet fragmentation scaling in heavy ion collisions
• Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action
• The Physics of a Sextet Quark Sector
• Broken scale invariance, massless dilaton and confinement in QCD
• Coulomb gauge Gribov copies and the confining potential
• Theoretical issues in J/psi suppression
• QCD mesonic screening masses using Gribov quantization
• Gribov-Zwanziger confinement, high energy evolution and large impact parameter behaviour of the scattering amplitude
• Recent progress in hard-thermal-loop QCD thermodynamics and collective excitations
• Vacuum Energy Density in the Quantum Yang - Mills Theory
• Charge-multiplicity and collision-energy dependence of $p_t$ spectra from $p$-$p$ collisions at the relativistic heavy-ion collider and large hadron collider
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• Heavy quark dynamics via Gribov-Zwanziger approach
• Perturbative gauge theory in a background
• Non-abelian vector backgrounds with restored Lorentz invariance
• Electromagnetic Debye mass within Gribov-Zwanziger action
• In search of the QCD-Gravity correspondence
• Comparing the PYTHIA Monte Carlo to a two-component (soft + hard) model of hadron production in high-energy p-p collisions
• High energy evolution for Gribov-Zwanziger confinement: solution to the equation
• A Numerical Approach to Coulomb Gauge QCD