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

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

2010-02-25

arxiv.org/abs/1002.4705v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 5 figures

Scientific paper

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.

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