Soft-wall AdS/QCD models reproduce mean-field chiral scaling functions and follow a T_c scaling law whose slope, tuned by a modified potential, can approach Dyson-Schwinger results.
Phase structure of 2+1-flavour QCD and the magnetic equation of state
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abstract
We determine the chiral phase structure of $2+1$-flavour QCD in dependence of temperature and the light flavour quark mass with Dyson-Schwinger equations. Specifically, we compute the renormalised chiral condensate and its susceptibility. The latter is used to determine the (pseudo)critical temperature for general light current quark masses. In the chiral limit we obtain a critical temperature of about 141\,MeV. This result is in quantitative agreement with recent functional renormalisation group results in QCD, and is compatible with the respective lattice results. We also compute the order parameter potential of the light chiral condensate and map out the regime in the phase diagram which exhibits quasi-massless modes, and discuss the respective chiral dynamics.
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Scaling functions in the soft-wall AdS/QCD models
Soft-wall AdS/QCD models reproduce mean-field chiral scaling functions and follow a T_c scaling law whose slope, tuned by a modified potential, can approach Dyson-Schwinger results.