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arXiv 1202.3260hep-phhep-lathep-th
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用介子制造束缚弦

Making confining strings out of mesons

Ryuichiro Kitano, Mitsutoshi Nakamura, Naoto Yokoi

摘要:

如果存在QCD的磁偶象,那么π、ρ、ω、f0和a0等轻介子都可能是磁自由度的候选者。我们构造了一个线性西格玛模型来描述磁规范群的自发破缺,其中存在一个稳定的矢量和标量介子涡旋位形。我们数值研究是否可以解释为限制字符串这样的字符串。通过使用介子质量和耦合作为输入,我们计算了弦的张力以及静态夸克之间的库仑力的强度。它们与从夸克偶素谱和强子Regge轨道所推断的结果一致。利用相同的拉格朗日量,估计了QCD相变的临界温度,并预言了非平凡的味依赖性。我们还讨论了Seiberg对偶和我们研究的磁模型之间的可能联系。

英文摘要:

The light mesons such as pi, rho, omega, f0, and a0 are possible candidates of magnetic degrees of freedom, if a magnetic dual picture of QCD exists. We construct a linear sigma model to describe spontaneous breaking of the magnetic gauge group, in which there is a stable vortex configuration of vector and scalar mesons. We numerically examine whether such a string can be interpreted as the confining string. By using meson masses and couplings as inputs, we calculate the tension of the string as well as the strength of the Coulomb force between static quarks. They are found to be consistent with those inferred from the quarkonium spectrum and the Regge trajectories of hadrons. By using the same Lagrangian, the critical temperature of the QCD phase transition is estimated, and a non-trivial flavor dependence is predicted. We also discuss a possible connection between the Seiberg duality and the magnetic model we studied.

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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