A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconducting models.
Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group
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abstract
We present a method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group. Our method is based on a thermodynamically consistent truncation of the flow equations for 2-point functions with analytically continued frequency components in the originally Euclidean external momenta. For the uniqueness of this continuation at finite temperature we furthermore implement the physical Baym-Mermin boundary conditions. We demonstrate the feasibility of the method by calculating the mesonic spectral functions in the quark-meson model along the temperature axis of the phase diagram, and at finite quark chemical potential along the fixed-temperature line that crosses the critical endpoint of the model.
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In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.
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Dissecting the moat regime at low energies I: Renormalization and the phase structure
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