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

. 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 f = 2 + 1 dynamical...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2019-09, Vol.55 (9), p.1-10, Article 169
Main Authors: Gunkel, Pascal J., Fischer, Christian S., Isserstedt, Philipp
Format: Article
Language:English
Subjects:
Bethe-Salpeter equation
Chemical potential
Conjugation
Constants
Decay rate
Flavor (particle physics)
Gluons
Hadrons
Heavy Ions
Mesons
Nuclear Fusion
Nuclear Physics
Organic chemistry
Particle and Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Quantum chromodynamics
Quarks
Regular Article - Theoretical Physics
Wave functions
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Summary:. 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 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.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2019-12868-1