https://doi.org/10.1140/epja/s10050-021-00450-7
Regular Article –Theoretical Physics
Masses and decay constants of (axial-)vector mesons at finite chemical potential
1
Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392, Gießen, Germany
2
Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung, Campus Gießen, 35392, Gießen, Germany
a
pascal.gunkel@physik.uni-giessen.de
Received:
9
December
2020
Accepted:
25
March
2021
Published online:
24
April
2021
We update our previous results for (pseudo-)scalar mesons at zero temperature and finite quark chemical potential and generalize the investigation to include (axial-)vector mesons. We determine bound-state properties such as meson masses and decay constants up to chemical potentials far in the first-order coexistence region. To extract the bound-states properties, we solve the Bethe-Salpeter equation and utilize Landau-gauge quark and gluon propagators obtained from a coupled set of (truncated) Dyson-Schwinger equations with 
dynamical quark flavors at finite chemical potential and vanishing temperature. For multiple (pseudo-)scalar and (axial-)vector mesons, we observe constant masses and decay constants for chemical potentials up to the coexistence region of the first-order phase transition thus verifying explicitly the Silver-Blaze property of QCD. Inside the coexistence region the pion becomes more massive and its decay constants decrease, whereas corresponding quantities for the (axial-)vector mesons remain (almost) constant.
© The Author(s) 2021
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