Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge

Abstract

The chiral and deconfinement phase transitions are investigated within the variational Hamiltonian approach to QCD in Coulomb gauge. The temperature ${\beta }^{-1}$ is introduced by compactifying a spatial dimension. Thereby the whole temperature dependence is encoded in the vacuum state on the spatial manifold ${\mathbb{R}}^2\times S^1(\beta )$. The chiral quark condensate and the dual quark condensate (dressed Polyakov loop) are calculated as function of the temperature. From their inflection points the pseudo-critical temperatures for the chiral and deconfinement crossover transitions are determined. Using the zero-temperature quark and gluon propagators obtained within the variational approach as input, we find $168\mathrm{MeV}$ and $196\mathrm{MeV}$, respectively, for the chiral and deconfinement transition.

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Cited by in corpus (5)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Chiral phase transition in linear sigma model with non-extensive statistical mechanics
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• The Equal-Time Quark Propagator in Coulomb Gauge
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD