Chiral phase boundary of QCD at finite temperature

Details Chiral phase boundary of QCD at finite temperature Chiral phase boundary of QCD at finite temperature

2006-02-24

arxiv.org/abs/hep-ph/0602226v1

JHEP 0606 (2006) 024

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, 8 figures

Scientific paper

10.1088/1126-6708/2006/06/024

We analyze the approach to chiral symmetry breaking in QCD at finite temperature, using the functional renormalization group. We compute the running gauge coupling in QCD for all temperatures and scales within a simple truncated renormalization flow. At finite temperature, the coupling is governed by a fixed point of the 3-dimensional theory for scales smaller than the corresponding temperature. Chiral symmetry breaking is approached if the running coupling drives the quark sector to criticality. We quantitatively determine the phase boundary in the plane of temperature and number of flavors and find good agreement with lattice results. As a generic and testable prediction, we observe that our underlying IR fixed-point scenario leaves its imprint in the shape of the phase boundary near the critical flavor number: here, the scaling of the critical temperature is determined by the zero-temperature IR critical exponent of the running coupling.

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