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Physical Review D

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Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

Jan Heffner, Hugo Reinhardt, and Davide R. Campagnari

Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany

Phys. Rev. D 85, 125029 – Published 20 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.125029

Abstract

The deconfinement phase transition of SU(2) Yang-Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasiparticle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by minimizing the free energy with respect to the quasigluon energy. Above the deconfinement phase transition the ghost form factor remains infrared divergent but its infrared exponent is approximately halved, while the gluon energy, being infrared divergent in the confined phase, becomes infrared finite in the deconfined phase. For the effective gluon mass we find a critical exponent of 0.37. Using the lattice results for the gluon propagator to fix the scale, the deconfinement transition temperature is obtained in the range of 275 to 290 MeV.

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