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arXiv 2011.14637hep-thhep-ph
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墙上的矢量介子

Vector mesons on the wall

Ryuichiro Kitano, Ryutaro Matsudo

摘要:

最近提出了一种被弦(称为薄饼或霍尔液滴)束缚的$η'$介子的畴壁组态来描述具有自旋$N_c/2$的重子。为了理解它的重子数以及味量子数,我们认为矢量介子($ρ$和$ω$介子)应该对整个图像的一致性起着至关重要的作用。通过考虑$θ$周期性和整体对称性的混合反常,我们确定了含$N_f$无质量费米子的大$N_c$ QCD的有效理论.异常匹配需要一个动力学畴壁的存在下,$U(N_f)_{-N_c}$陈-西蒙斯理论支持。我们考虑了畴壁边缘的边界条件,并得出结论,应该有一个边界项耦合的$U(N_f)_{-N_c}$规范场的矢量介子。讨论了手征相变对物理的影响以及与QCD“对偶性”的关系。

英文摘要:

A domain-wall configuration of the $η'$ meson bounded by a string (called a pancake or a Hall droplet) is recently proposed to describe the baryons with spin $N_c/2$. In order to understand its baryon number as well as the flavor quantum number, we argue that the vector mesons (the $ρ$ and $ω$ mesons) should play an essential role for the consistency of the whole picture. We determine the effective theory of large-$N_c$ QCD with $N_f$ massless fermions by taking into account a mixed anomaly involving the $θ$-periodicity and the global symmetry. The anomaly matching requires the presence of a dynamical domain wall on which a $U(N_f)_{-N_c}$ Chern-Simons theory is supported. We consider the boundary conditions that should be imposed on the edge of the domain wall, and conclude that there should be a boundary term that couples the $U(N_f)_{-N_c}$ gauge field to the vector mesons. We discuss the impact on physics of the chiral phase transition and the relation to the "duality" of QCD.

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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