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Quarks and light (pseudo-)scalar mesons at finite chemical potential

  • Pascal J. Gunkel
  • Christian S. FischerEmail author
  • Philipp Isserstedt
Regular Article - Theoretical Physics

Abstract.

We investigate the properties of light scalar and pseudoscalar mesons at finite (light) quark chemical potential. To this end we solve a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators in Landau-gauge QCD and extend earlier results for \( N_{\mathrm{f}} = 2+1\) dynamical quark flavors to finite chemical potential at zero temperature. We then determine the meson bound state masses, wave functions, and decay constants for chemical potentials below the first-order phase transition from their homogeneous Bethe-Salpeter equation. We study the changes in the quark dressing functions and Bethe-Salpeter wave functions with chemical potential. In particular, we trace charge-conjugation parity breaking. Furthermore, we confirm the validity of the Silver-Blaze property: all dependencies of colored quantities on chemical potential cancel out in observables and we observe constant masses and decay constants up to and into the coexistence region of the first-order chiral phase transition.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Pascal J. Gunkel
    • 1
  • Christian S. Fischer
    • 1
    Email author
  • Philipp Isserstedt
    • 1
  1. 1.Institut für Theoretische PhysikJustus-Liebig-Universität GießenGießenGermany

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