Gießen 2024 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 34: Heavy-Ion Collisions and QCD Phases VIII
HK 34.2: Talk
Tuesday, March 12, 2024, 18:00–18:15, HBR 62: EG 18
Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group — •Yunxin Ye1, Johannes Roth2, Soeren Schlichting1, and Lorenz von Smekal2 — 1Universitaet Bielefeld, D-33615 Bielefeld, Germany — 2Justus-Liebig-Universitaet, Heinrich-Buff-Ring 16, 35392 Gießen, Germany
In the chiral limit the complicated many-body dynamics around the second- order chiral phase transition of two-flavour QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group that describes the stochastic hydrodynamic equations of motion for systems in the same dynamic universality class, which corresponds to Model G in the Halperin-Hohenberg classification. Our approach preserves all relevant symmetries of such systems with reversible mode couplings. We show that the calculations indeed produce the non-trivial value z = d/2 for the dynamic critical exponent, where d is the number of spatial dimensions. From the momentum and temperature dependence of the diffusion coefficient of the conserved charge densities, we extracted the dimensionless universal scaling function.
Keywords: critical dynamics; qcd phase diagram; chiral phase transition; functional renormalization group; dynamic universality