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

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.

10 pages, 9 figures, v2: minor changes, version accepted by EPJ

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• The phase structure of the Polyakov--quark-meson model beyond mean field
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• Dynamical chiral symmetry breaking and a critical mass
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Cited by in corpus (18)

• The QCD phase structure at finite temperature and density
• QCD phase structure from functional methods
• Chiral phase structure and critical end point in QCD
• Locating the critical endpoint of QCD: mesonic backcoupling effects
• Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations
• QCD phase transitions in the light quark chiral limit
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• The Role of Baryon Structure in Neutron Stars
• The impact of transverse Slavnov-Taylor identities on dynamical chiral symmetry breaking
• Thermodynamics from the quark condensate
• Masses and decay constants of (axial-)vector mesons at finite chemical potential
• From imaginary to real chemical potential QCD with functional methods
• Finite-volume effects in baryon number fluctuations around the QCD critical endpoint
• The Podolsky propagator in gap and bound-state equations
• QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
• Mesons at finite chemical potential and the Silver-Blaze property of QCD
• Illustrating the liquid gas transition of nuclear matter in QCD
• Finite-energy sum rules at finite chemical potential and zero temperature