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Many faces of the Landau gauge gluon propagator at zero and finite temperature: positivity violation, spectral density and mass scales

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arxiv 1401.1554 v1 pith:V4VH6BSZ submitted 2014-01-08 hep-lat hep-ph

classification hep-lathep-ph
keywords gluonpropagatorspectralfinitetemperaturedensitygaugelandau
verification ladder T0 review T1 audit T2 compute T3 formal
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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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    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 cou...

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