Masses of vector bosons in two-color dense QCD based on the hidden local symmetry

Understand

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.