Coulomb vs. physical string tension on the lattice

Abstract

From continuum studies it is known that the Coulomb string tension ${\sigma }_C$ gives an upper bound for the physical (Wilson) string tension ${\sigma }_W$ [D. Zwanziger, Phys. Rev. Lett. 90, 102001 (2003)]. How does however such relationship translate to the lattice? In this paper we give evidence that there, while the two string tensions are related at zero temperature, they decouple at finite temperature. More precisely, we show that on the lattice the Coulomb gauge confinement scenario is always tied to the spatial string tension, which is known to survive the deconfinement phase transition and to cause screening effects in the quark-gluon plasma. Our analysis is based on the identification and elimination of center vortices which allows to control the physical string tension and study its effect on the Coulomb gauge observables. We also show how alternative definitions of the Coulomb potential may sense the deconfinement transition; however a true static Coulomb gauge order parameter for the phase transition is still elusive on the lattice.

12 pages, 14 figures. Figures and changes in text added to match published version

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• Variational study of mass generation and deconfinement in Yang-Mills theory
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• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Dispersion relations for unphysical particles
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Universal scaling of gluon and ghost propagators in the infrared
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Thermal extension of the screened massive expansion in the Landau gauge
• Effective theory of the D = 3 center vortex ensemble
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
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• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations
• The Equal-Time Quark Propagator in Coulomb Gauge
• Screened massive expansion of the quark propagator in the Landau gauge
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions