Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work

Abstract

I will review essential features of the Hamiltonian approach to QCD in Coulomb gauge showing that Gribov's confinement scenario is realized in this gauge. For this purpose I will discuss in detail the emergence of the horizon condition and the Coulomb string tension. I will show that both are induced by center vortex gauge field configurations, which establish the connection between Gribov's confinement scenario and the center vortex picture of confinement. I will then extend the Hamiltonian approach to QCD in Coulomb gauge to finite temperatures, first by the usual grand canonical ensemble and second by the compactification of a spatial dimension. I will present results for the pressure, energy density and interaction measure as well as for the Polyakov loop.

13 pages, 10 figures, talk given by H. Reinhardt at "5th International Conference on New Frontiers in Physics", 6-14 July 2016, Kolymbari, Greece

References in corpus (8)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Dielectric function of the QCD vacuum
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Improved variational approach to QCD in Coulomb gauge