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arXiv · 1907.08110

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

Pascal J. Gunkel·Christian S. Fischer·Philipp Isserstedt
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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 extent earlier results for $N_f=2+1$ 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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Pascal J. Gunkel, Christian S. Fischer, Philipp Isserstedt. 2019-07-18. Quarks and light (pseudo-)scalar mesons at finite chemical potential. https://doi.org/10.1140/epja/i2019-12868-1

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