Following Gluonic World Lines to Find the QCD Coupling in the Infrared

Abstract

Using a parametrization of the Wilson loop with the minimal-area law, we calculate the polarization operator of a valence gluon, which propagates in the confining background. This enables us to obtain the infrared freezing (i.e. finiteness) of the running strong coupling in the confinement phase, as well as in the deconfinement phase up to the temperature of dimensional reduction. The momentum scale defining the onset of freezing is found both analytically and numerically. The nonperturbative contribution to the thrust variable, originating from the freezing, makes the value of this variable closer to the experimental one.

arXiv comment25 pages, 5 figures

References in corpus (21)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Thermodynamics of SU(3) Lattice Gauge Theory
• $J/\psi$ and ${\eta }_c$ in the Deconfined Plasma from Lattice QCD
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Behavior of Charmonium Systems after Deconfinement
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Masses of heavy baryons in the relativistic quark model
• Chiral phase boundary of QCD at finite temperature
• Specific Features of Heavy Quark Production. LPHD approach to heavy particle spectra
• The restriction on the strong coupling constant in the IR region from the 1D-1P splitting in bottomonium
• Loop Equation and Area Law in Turbulence
• Heavy Quark Potentials and Quarkonia Binding
• A Study of Charmonium Systems across the Deconfinement Transition
• Thermal gluo-magnetic vacuum of SU(N) gauge theory
• Masses and electroweak properties of light mesons in the relativistic quark model
• A Tachyonic Gluon Mass: Between Infrared and Ultraviolet
• Effects of the Running of the QCD Coupling on the Energy Loss in the Quark-Gluon Plasma
• Nonperturbative Contributions to the Hot Electroweak Potential and the Crossover
• Heavy-quark condensate at zero- and nonzero temperatures for various forms of the short-distance potential
• Mixed heavy-quark-gluon condensate in the stochastic vacuum model and dual superconductor

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• Confinement Mechanism in the Field Correlator Method
• Life at the Landau pole
• Pressure and interaction measure of the gluon plasma
• Jet quenching parameter \hat q in the stochastic QCD vacuum with Landau damping
• Exploring correlations in the stochastic Yang-Mills vacuum