Masses of vector bosons in two-color dense QCD based on the hidden local symmetry
Feb, 2010Citations per year
Abstract: (arXiv)
We construct a low energy effective Lagrangian for the two-color QCD including the "vector" bosons (mesons with J^P=1^- and diquark baryons with J^P=1^+) in addition to the pseudo Nambu-Goldstone bosons with a degenerate mass M_\pi (mesons with J^P=0^- and baryons with J^P=0^+) based on the chiral symmetry breaking pattern of SU(2N_f) \to Sp(2N_f) in the framework of the hidden local symmetry. We investigate the dependence of the "vector" boson masses on the baryon number density \mu_B. We show that the \mu_B-dependence signals the phase transition of U(1)_B breaking. We find that it gives information about mixing among "vector" bosons: e.g. the mass difference between \rho and \omega mesons is proportional to the mixing strength between the diquark baryon with J^P=1^+ and the anti-baryon. We discuss the comparison with lattice data for two-color QCD at finite density.Note:
- 24 pages, 5 figures
- 05.70.Fh
- 11.30.Rd
- 12.39.Fe
- quantum chromodynamics
- flavor: 2
- hidden symmetry: local
- vector meson: mass
- Goldstone particle
- effective Lagrangian: chiral
- vacuum state
References(43)
Figures(5)