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Fermionic spectral functions with the Functional Renormalization Group

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arxiv 1807.11708 v2 pith:M6HSRT5Q submitted 2018-07-31 hep-ph hep-thnucl-th

Fermionic spectral functions with the Functional Renormalization Group

classification hep-ph hep-thnucl-th
keywords functionsspectralfermionicfunctionalgroupmethodquarkrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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