Fermionic spectral functions with the Functional Renormalization Group

Abstract

We present first results on the calculation of fermionic spectral functions from analytically continued flow equations within the Functional Renormalization Group approach. Our method is based on the same analytic continuation from imaginary to real frequencies that was developed and used previously for bosonic spectral functions. In order to demonstrate the applicability of the method also for fermionic correlations we apply it here to the real-time quark propagator in the quark-meson model and calculate the corresponding quark spectral functions in the vacuum.

13 pages, 9 figures

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• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Renormalization Group Approach towards the QCD Phase Diagram
• Fluctuations in the quark-meson model for QCD with isospin chemical potential
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
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Cited by in corpus (14)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• Spectral functions in the ${\varphi }^4$-theory from the spectral DSE
• Vector and Axial-Vector Mesons in Nuclear Matter
• Quark propagator in Minkowski space
• The QCD moat regime and its real-time properties
• Fluctuating vector mesons in analytically continued FRG flow equations
• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• Fermionic excitations at finite temperature and density
• Thermalization and dynamical spectral properties in the quark-meson model
• Fermion spectral function in hot strongly interacting matter from the functional renormalization group
• Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Extracting a model quark propagator's spectral density