Emergence of a new $SU(4)$ symmetry in the baryon spectrum
Emergence of a new $SU(4)$ symmetry in the baryon spectrum
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重子谱中出现新的 $SU(4)$ 对称性
DOI：
10.1103/physrevd.92.074508
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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：
--
作者：
M. Denissenya;L. Glozman;M. Pak
最近，在截断价夸克传播子的近零模式时，发现了一个比QCD拉格朗日的SU(2)_L \乘以SU(2)_R \乘以U(1)_A$对称性更大的J=1$介子简并。已经发现这种简并表示包含手性旋转以及左、右手夸克混合的$SU(4)$基团。这个对称群被证明是QCD中的约束对称。因此，我们期望在其他强子扇区中，同样的对称性也会在接近零的模式移除上持续存在。已经证明$J=2$介子在低洼模消除后确实遵循相同的对称模式。在这里，我们证明了从夸克传播子中去除近零模式后重子的$SU(4)$对称性。我们还证明了属于$SU(4)$的不同不可约表示的状态的简并性。这意味着一个更大的对称，包括$SU(4)$作为子群。
Recently a large degeneracy of $J=1$ mesons, that is larger than the $SU(2)_L \times SU(2)_R \times U(1)_A$ symmetry of the QCD Lagrangian, has been discovered upon truncation of the near-zero modes from the valence quark propagators. It has been found that this degeneracy represents the $SU(4)$ group that includes the chiral rotations as well as the mixing of left- and right-handed quarks. This symmetry group turns out to be a symmetry of confinement in QCD. Consequently, one expects that the same symmetry should persist upon the near-zero mode removal in other hadron sectors as well. It has been shown that indeed the $J=2$ mesons follow the same symmetry pattern upon the low-lying mode elimination. Here we demonstrate the $SU(4)$ symmetry of baryons once the near-zero modes are removed from the quark propagators. We also show a degeneracy of states belonging to different irreducible representations of $SU(4)$. This implies a larger symmetry, that includes $SU(4)$ as a subgroup.