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.
Analytic structure of the Landau gauge gluon propagator
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The analytic structure of the non-perturbative gluon propagator contains information on the absence of gluons from the physical spectrum of the theory. We study this structure from numerical solutions in the complex momentum plane of the gluon and ghost Dyson-Schwinger equations in Landau gauge Yang-Mills theory. The resulting ghost and gluon propagators are analytic apart from a distinct cut structure on the real, timelike momentum axis. The propagator violates the Osterwalder-Schrader positivity condition, confirming the absence of gluons from the asymptotic spectrum of the theory.
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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.