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arXiv 1002.4705hep-phhep-lat
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基于隐局域对称性的双色稠密QCD中矢量玻色子的质量

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

Masayasu Harada, Chiho Nonaka, Tetsuro Yamaoka

摘要:

我们构造了一个包含矢量玻色子的双色QCD的低能有效拉格朗日量(J^P=1^-的介子和J^P=1^+的双夸克重子)基于SU(2N_f)\to Sp(2N_f)的手征对称性破缺模型,对J ^P = 0^-的介子和J^P=0^+的重子进行了研究在隐藏的局部对称性的框架内。研究了“矢量”玻色子质量对重子数密度μ_B的依赖关系。我们发现μ B依赖性是U(1)B破缺的相变信号。我们发现它给出了“矢量”玻色子之间混合的信息:例如,ρ介子和ω介子之间的质量差与J^P=1^+的双夸克重子和反重子之间的混合强度成正比。我们讨论了有限密度下双色QCD与格点数据的比较。

英文摘要:

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_π(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 μ_B. We show that the μ_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 ρand ωmesons 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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