Dynamics of the $O(4)$ critical point in QCD

Abstract

We perform a real-time simulation of the $O(4)$ critical point of QCD, which lies in the dynamic universality class of Model G. The axial charge and the order parameter ${\varphi }_a=(\sigma ,\vec{\pi })$ exhibit a rich dynamical interplay, which reflects the qualitative differences in the hydrodynamic effective theories above and below $T_c$. From the axial charge correlators on the critical line we extract a dynamical critical exponent of $\zeta =1.47\pm 0.01(\mathrm{stat})$, which is compatible with the theoretical expectation of $\zeta =d/2$ (with $d=3$) when systematic errors are taken into account. At low temperatures, we quantitatively match the $O(4)$ simulations to the superfluid effective theory of soft pions.

33 pages, 13 figures

References in corpus (7)

• Bayesian analysis of heavy ion collisions with the heavy ion computational framework Trajectum
• Dynamic universality class of the QCD critical point
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Transport and hydrodynamics in the chiral limit
• Spectral functions and dynamic critical behavior of relativistic $Z_2$ theories
• Critical dynamics of relativistic diffusion
• Fluid velocity from transverse momentum spectra

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