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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

classification hep-phhep-thnucl-th
keywords functionsspectralfermionicfunctionalgroupmethodquarkrenormalization
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 4 Pith papers

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    A first computation of the pion spectral function in the QCD moat regime reveals a quasiparticle peak at nonzero spacelike momentum, the moaton, and indicates no instability toward inhomogeneous chiral condensation fo...

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    In a spectral DSE computation, the quark propagator develops complex-conjugate poles when the classical quark-gluon vertex strength exceeds a critical value, while the full QCD strength is predicted to stay below that value.

  3. Phase structure of quark matter and in-medium properties of mesons from Callan-Symanzik flows

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A symmetry-restored Callan-Symanzik functional RG produces a physical phase diagram and meson spectral functions for the quark-meson model, where the unconstrained scheme fails.

  4. Critical scaling for spectral functions

    hep-th 2025-06 conditional novelty 5.0 of 10

    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

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