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

  • Regular Article - Theoretical Physics
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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 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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Authors and Affiliations

  1. Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392, Gießen, Germany

    Pascal J. Gunkel, Christian S. Fischer & Philipp Isserstedt

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  1. Pascal J. Gunkel
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  2. Christian S. Fischer
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  3. Philipp Isserstedt
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Correspondence to Christian S. Fischer.

Additional information

Communicated by R. Alkofer

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study are contained in this published article.]

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Gunkel, P.J., Fischer, C.S. & Isserstedt, P. Quarks and light (pseudo-)scalar mesons at finite chemical potential. Eur. Phys. J. A 55, 169 (2019). https://doi.org/10.1140/epja/i2019-12868-1

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