The role of the U<i>A</i>(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories
The role of the U<i>A</i>(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories
复制标题
U<i>A</i>(1)破缺项在手性有效理论的动态手性对称性破缺中的作用
DOI：
10.1093/ptep/ptab084
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发表时间：
2021
影响因子：
3.5
通讯作者：
Harada Masayasu
中科院分区：
文献类型：
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作者：
Kono Shinnosuke;Jido Daisuke;Kuroda Yoshiki;Harada Masayasu
用手征有效理论，如线性模型和Nambu-Jona-Lasinio（NJL）模型，研究了手征对称性的自发破缺。本文讨论了当手征对称性自发破缺，主要是由U（1）反常引起时，σ介子作为手征凝聚体量子涨落的性质。我们导出了SU（3）味单重态介子之间的质量关系，在线性模型中，反常驱动对称性破缺在手征极限下是满足的，并且发现它在NJL模型中也得到了支持.通过明确的手征对称破缺，我们证明了两个再现观测物理量的手征有效模型都表明，当反常驱动的对称破缺发生时，它们的质量应该小于800 MeV。
The spontaneous breaking of chiral symmetry is examined by chiral effective theories, such as the linearmodel and the Nambu–Jona-Lasinio (NJL) model. We discuss the properties of the sigma meson regarded as the quantum fluctuation of the chiral condensate when the chiral symmetry is spontaneously broken, mainly by the U(1) anomaly. We derive a mass relation among the SU(3) flavor singlet mesons,and, in the linearmodel to be satisfied for the anomaly-driven symmetry breaking in the chiral limit, and find that it is also supported in the NJL model. With the explicit breaking of chiral symmetry, we show that both of the chiral effective models reproducing the observed physical quantities suggest that themeson should have a mass smaller than800 MeV when anomaly-driven symmetry breaking takes place.