In the Gribov-Zwanziger framework, the thermal quark spectral function obeys new sum rules and exhibits a coupling-driven transition from three poles to a single pole, with the thermal mass vanishing at a critical coupling g* roughly 4.56.
Quark Spectral Function and Deconfinement at Nonzero Temperature
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abstract
The maximum entropy method is used to compute the quark spectral function at nonzero temperature. We solve the gap equation of quantum chromodynamics (QCD) self-consistently, employing a rainbow kernel which phenomenologically models results from Dyson-Schwinger equations (DSE) and lattice QCD. We use the criterion of positivity restoration of the spectral function as a signal for deconfinement. Our calculation indicates that the critical temperature of deconfinement $T_d$ is slightly smaller than the one of chiral symmetry restoration $T_c$: $T_d\sim 94% T_c$ in the chiral limit, and $T_d\sim 96% T_c$ with physical light quark masses. Since these deviations are within the systematic error of our approach, it is reasonable to conclude that chiral symmetry restoration and deconfinement coincide at zero chemical potential.
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Spectral sum rules and phase transition in strongly coupled QCD
In the Gribov-Zwanziger framework, the thermal quark spectral function obeys new sum rules and exhibits a coupling-driven transition from three poles to a single pole, with the thermal mass vanishing at a critical coupling g* roughly 4.56.