Spectral Functions from the Functional Renormalization Group

Abstract

In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions in strong-interaction matter under extreme conditions and their fluctuation properties. Based on a thermodynamically consistent truncation we derive flow equations for pertinent two-point functions in Minkowski space-time. We demonstrate the feasibility of the method by calculating mesonic spectral functions in hot and dense hadronic matter using the quark-meson model as a simple example.

18 pages, 6 figures, 2 tables. Talk presented at "45 years of nuclear theory at Stony Brook - A tribute to Gerald E. Brown"

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• Nonperturbative functional renormalization-group approach to transport in the vicinity of a $(2+1)$-dimensional O($N$)-symmetric quantum critical point
• Nonperturbative renormalization-group approach preserving the momentum dependence of correlation functions
• Bound states in Functional Renormalization Group
• Spectral function for pions in magnetic field
• Functional Renormalization Analytically Continued