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arXiv 1205.0692hep-ph
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夸克质量变化时QCD谱和手征对称性破缺的分析

Analysis of the QCD spectrum and chiral symmetry breaking with varying quark masses

Yu. A. Simonov

摘要:

在非微扰QCD框架下研究了QCD介子谱随夸克质量$m_q$变化的关系。结果表明,全谱由两支谱组成:1)标准谱,可称为通量管谱,它近似线性地依赖于$m_q$; 2)赝标味非单线态(PS)介子的手征对称性破缺谱,它依赖于$\sqrt{m_q}$的质量。从QCD拉格朗日量出发,采用$m_q$修正,导出了PS介子的形式,得到了PS传播子的统一形式。结果表明,PS介子的CSB分支在$m_q=200$ MeV附近与流管分支相连接。所有这些结果与最近大晶格上的数值结果是一致的。

英文摘要:

The meson spectrum of QCD is studied in the framework of nonperturbative QCD as a function of varying quark masses $m_q$. It is shown, that the total spectrum consists of two branches: 1) the standard one, which may be called the flux-tube spectrum, depending approximately linearly on $m_q$ and 2) the chiral symmetry breaking (CSB) spectrum for pseudoscalar flavor nonsinglet (PS) mesons, with mass dependence $\sqrt{m_q}$. The formalism for PS mesons is derived from the QCD Lagrangian with $m_q$ corrections, and a unified form of the PS propagator was derived. It is shown, that the CSB branch of PS mesons joins to the flux-tube branch at around $m_q=200$ MeV. All these results are in close correspondence with recent numerical data on large lattices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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