Shocks and quark-meson scatterings at large density

Abstract

We discuss the phase structure of the two-flavour quark-meson model including quantum, thermal, density and critical fluctuations with the functional renormalisation group. This study combines two technical advances in the literature, that are also chiefly important for the quantitative access of the phase boundary of QCD at large density or baryon chemical potential. Specifically we allow for the formation and propagation of shocks as well as a fully self-consistent computation of the order parameter potential for chiral symmetry breaking.

arXiv comment26 pages, 16 figures

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• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Renormalization Group Studies of Dense Relativistic Systems
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• Numerical RG-time integration of the effective potential: Analysis and Benchmark
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• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Functional flows for complex effective actions
• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• Regulator scheme dependence of the chiral phase transition at high densities
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• Physics-informed operator flows and observables
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation