Evidence for a new $SU(4)$ symmetry with $J=2$ mesons
Evidence for a new $SU(4)$ symmetry with $J=2$ mesons
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$J=2$ 介子的新 $SU(4)$ 对称性的证据
DOI：
10.1103/physrevd.91.114512
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Pak
中科院分区：
文献类型：
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作者：
M. Denissenya;L. Glozman;M. Pak
最近，在点阵模拟中，重叠狄拉克算子的准零模被截断后，发现了一种新的介子对称性。也就是说，在去除准零模式后，$\rho,\rho',\omega,\omega',a_1, b_1,h_1$和可能的$f_1$$J=1$介子会简并。这种涌现的对称性已经被确定为$SU(4)\supset SU(2)_L \times SU(2)_R \times U(1)_A$。它比QCD拉格朗日的对称性更高，不仅提供了同位旋空间中给定手性的夸克的混合，而且还提供了左手和右手组分的混合。本文用重叠狄拉克算子研究了等矢量$J=2$介子在准零模约简上的类似简并现象。这一结果进一步支持了给定自旋$J \geq 1$的介子的$SU(4)$对称性。
Recently, a new symmetry of mesons has been found upon truncation of the quasi-zero modes of the Overlap Dirac operator in lattice simulations. Namely, the $\rho,\rho',\omega,\omega',a_1, b_1,h_1$ and possibly $f_1$ $J=1$ mesons get degenerate after removal of the quasi-zero modes. This emergent symmetry has been established to be $SU(4)\supset SU(2)_L \times SU(2)_R \times U(1)_A$. It is higher than the symmetry of the QCD Lagrangian and provides not only a mixing of quarks of given chirality in the isospin space, but also the mixing of left-handed and right-handed components. Here we study, with the Overlap Dirac operator, the isovector $J=2$ mesons upon the quasi-zero mode reduction and observe a similar degeneracy. This result further supports the $SU(4)$ symmetry in mesons of given spin $J \geq 1$.