Masses and decay constants of (axial-)vector mesons at finite chemical potential

Abstract

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 N${}_{\text{f}}=2+1$ 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.

arXiv comment8 pages, 4 figures, v2: minor changes, version accepted by EPJ

References in corpus (25)

• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Phase structure of three and four flavor QCD
• Hadrons in strongly interacting matter
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Deconfinement phase transition and the quark condensate
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Probing Unquenching Effects in the Gluon Polarisation in Light Mesons
• Pion Propagation near the QCD Chiral Phase Transition
• Real-time pion propagation in finite-temperature QCD
• In-Medium Spectral Functions of Vector- and Axial-Vector Mesons from the Functional Renormalization Group
• Baryon effects on the location of QCD's critical end point
• Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks
• On Gribov's supercriticality picture of quark confinement
• Hybrid and quark star matter based on a non-perturbative equation of state
• Deconfinement at finite chemical potential
• Dyson-Schwinger approach to color superconductivity at finite temperature and density
• Dense two-color QCD from Dyson-Schwinger equations
• On critical scaling at the QCD N_f=2 chiral phase transition
• Quarks and light (pseudo-)scalar mesons at finite chemical potential
• Bethe-Salpeter studies of mesons beyond rainbow-ladder
• Fluctuating vector mesons in analytically continued FRG flow equations
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential

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• New insight on the quark condensate beyond chiral limit
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Illustrating the liquid gas transition of nuclear matter in QCD
• Critical endpoint of QCD in a finite volume
• Finite-energy sum rules at finite chemical potential and zero temperature