arXiv 1508.014132015-08hep-lathep-phnucl-th

重子谱中新的$SU(4)$对称性的出现

Emergence of a new $SU(4)$ symmetry in the baryon spectrum

M. Denissenya, L. Ya. Glozman, M. Pak

备注：: Updated version matching published version in Phys.Rev.D; Erratum at the end of the paper regarding the larger symmetry than SU(4)
发表信息：: PhysRevD.92,074508 (2015)

摘要：

最近，在截断价夸克传播子的近零模后，发现了$J=1$介子的大简并度，它大于QCD拉氏量的$SU(2)_L \times SU(2)_R \times U(1)_A$对称性。已经发现，这种简并表示包括手征旋转以及左手和右手夸克的混合的$SU(4)$群。这个对称群就是量子色动力学中禁闭的对称性。因此，人们期望在其他强子扇区的近零模去除后，同样的对称性也会持续存在。结果表明，$J=2$介子在低位模消除后确实遵循相同的对称性模式。在这里，我们证明了从夸克传播子中去除近零模后重子的$SU(4)$对称性。我们还表明，属于不同的不可约表示的$SU(4)$的状态的简并。这意味着更大的对称性，包括$SU(4)$作为一个子群。

英文摘要：

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.

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摘要：

英文摘要：

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