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

Journal Article · Sat May 01 04:00:00 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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