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

Journal Article · Sat May 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.096003· OSTI ID:21409987

Harada, Masayasu; Nonaka, Chiho; Yamaoka, Tetsuro ^[1]

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1. Department of Physics, Nagoya University, Nagoya, 464-8602 (Japan)

We construct a low-energy effective Lagrangian for the two-color QCD including the 'vector' bosons (mesons with J{sup P}=1{sup -} and diquark baryons with J{sup P}=1{sup +}) in addition to the pseudo-Nambu-Goldstone bosons with a degenerate mass M{sub {pi}}(mesons with J{sup P}=0{sup -} and baryons with J{sup P}=0{sup +}) based on the chiral symmetry breaking pattern of SU(2N{sub f}){yields}Sp(2N{sub f}) in the framework of the hidden local symmetry. We investigate the dependence of the vector boson masses on the baryon number density {mu}{sub B}. We show that the {mu}{sub B}-dependence signals the phase transition of U(1){sub 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{sup P}=1{sup +} and the antibaryon. We discuss the comparison with lattice data for two-color QCD at finite density.

• OSTI ID: 21409987
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 9; Other Information: DOI: 10.1103/PhysRevD.81.096003; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTIBARYONS
BARYON NUMBER
CHIRAL SYMMETRY
COLOR MODEL
COMPARATIVE EVALUATIONS
DENSITY
GOLDSTONE BOSONS
LAGRANGIAN FUNCTION
MASS
MASS DIFFERENCE
MESONS
MIXING
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
SU-2 GROUPS
SYMMETRY BREAKING
U-1 GROUPS
ANTIMATTER
ANTIPARTICLES
BARYONS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
MATTER
PARTICLE MODELS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUARK MODEL
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS