Köln 2025 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 42: Heavy-Ion Collisions and QCD Phases VII
HK 42.2: Talk
Thursday, March 13, 2025, 14:30–14:45, HS 3 Chemie
Critical dynamics of the chiral phase transition from a 1/N expansion — •Jonas Hirsch1, Johannes Roth1, and Lorentz von Smekal1,2 — 1Institut für Theoretische Physik, Justus-Liebig-Universität, 35392 Giessen, Germany — 2Helmholtz Research Academy Hesse for FAIR (HFHF), Campus Giessen
The chiral phase transition of QCD in the limit of two massless quark flavors is widely believed to be of second order in the O(4) universality class. Since the work of Rajagopal and Wilczek its dynamic universality class is then expected to be an extension of the original Model G by Halperin and Hohenberg. The characteristic feature of this dynamic model are the reversible mode couplings between the conserved iso-(axial-)vector charges and the chiral condensate as the order parameter field which all relax at equal rates due to strong dynamic scaling, as recently studied with the real-time FRG [1]. In this talk, I will consider a generalized version with an N-component order parameter field for large N. I will show that one can obtain exact solutions for the dynamic response functions with standard large-N counting rules from Dyson-Schwinger equations. In addition, I will discuss how the weak and strong-scaling fixed points are affected by the large-N limit.
[1] J.V. Roth, Y. Ye, S. Schlichting, L. von Smekal, Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group, JHEP, to be published, arXiv:2403.04573 [hep-ph].
Keywords: critical dynamics; QCD phase diagram; chiral phase transition; Dyson-Schwinger equation; Model G