https://doi.org/10.1140/epja/i2019-12868-1
Regular Article - Theoretical Physics
Quarks and light (pseudo-)scalar mesons at finite chemical potential
Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392, Gießen, Germany
* e-mail: christian.fischer@theo.physik.uni-giessen.de
Received:
13
August
2019
Accepted:
24
August
2019
Published online:
30
September
2019
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 
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
