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.

arXiv comment33 pages, 13 figures

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• The stochastic relativistic advection diffusion equation from the Metropolis algorithm
• Dynamics of non-Gaussian fluctuations in model A
• Dissipation dynamics of a scalar field
• Modelling stochastic fluctuations in relativistic kinetic theory
• Universality of pseudo-Goldstone damping near critical points
• Supercooled Goldstone Bosons at the QCD Chiral Phase Transition
• Quenching through the QCD chiral phase transition
• Boost-invariant superfluid flows
• Superfluids in expanding backgrounds and attractor times
• Goldstone bosons across thermal phase transitions
• Chiral phase transition: effective field theory and holography
• Enhancement of photon emission rate near QCD critical point