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Spectral functions for the quark-meson model phase diagram from the functional renormalization group

Ralf-Arno Tripolt1, Nils Strodthoff2, Lorenz von Smekal1,3, and Jochen Wambach1,4

  • 1Theoriezentrum, Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2Institut für Theoretische Physik, Ruprecht-Karls-Universität Heidelberg, 69120 Heidelberg, Germany
  • 3Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, 35392 Giessen, Germany
  • 4GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany

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Phys. Rev. D 89, 034010 – Published 6 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.034010

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 end point of the model.

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Phys. Rev. D 89, 034010– Published 6 February, 2014
  • Received 8 November 2013

© 2014 American Physical Society

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