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.
Many faces of the Landau gauge gluon propagator at zero and finite temperature: positivity violation, spectral density and mass scales
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abstract
We address several aspects of gluon propagation at zero and finite temperature. In particular, we study the violation of spectral positivity, we discuss a method to extract the K\"all\'{e}n-Lehmann spectral density of a particle (be it elementary or bound state) propagator and apply it to compute gluon spectral densities from lattice data. Furthermore, we also consider the interpretation of the Landau gauge gluon propagator at finite temperature as a massive type bosonic propagator.
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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.