Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature

TL;DR

This paper applies the Hamiltonian approach to QCD in Coulomb gauge to explore confinement and phase transitions, relating the Coulomb string tension to the spatial string tension and analyzing finite temperature effects.

Contribution

It introduces a variational method free of ultraviolet divergences and extends the Hamiltonian approach to finite temperatures through spatial compactification.

Findings

Coulomb string tension is linked to the spatial string tension.

Finite temperature analysis yields pseudo-critical temperatures of 170 MeV and 198 MeV.

Vacuum wave functional approach provides insights into chiral and deconfinement transitions.

Abstract

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. By relating the Gribov confinement scenario to the center vortex picture of confinement it is shown that the Coulomb string tension is tied to the spatial string tension. For the quark sector a vacuum wave functional is used which results in variational equations which are free of ultraviolet divergences. The variational approach is extended to finite temperatures by compactifying a spatial dimension. For the chiral and deconfinement phase transition pseudo-critical temperatures of 170 MeV and 198 MeV, respectively, are obtained.