Hamiltonian approach to QCD in Coulomb gauge: From the vacuum to finite temperatures

Abstract

The variational Hamiltonian approach to QCD in Coulomb gauge is reviewed and the essential results obtained in recent years are summarized. First the results for the vacuum sector are discussed, with a special emphasis on the mechansim of confinement and chiral symmetry breaking. Then the deconfinement phase transition is described by introducing temperature in the Hamiltonian approach via compactification of one spatial dimension. The effective action for the Polyakov loop is calculated and the order of the phase transition as well as the critical temperatures are obtained for the color group SU(2) and SU(3). In both cases, our predictions are in good agreement with lattice calculations.

Talk given by H. Reinhardt at the 4th International Conference on New Frontiers in Physics (ICNFP 2015)

References in corpus (12)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Dielectric function of the QCD vacuum
• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• The effective potential of the confinement order parameter in the Hamiltonian approach
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Confinement in Polyakov Gauge
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Quark and gluon confinement in Coulomb gauge
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension