论文标题
具有QCD的Hooft Flux背景的Semicalics，带有$ 2 $ index Quarks
Semiclassics with 't Hooft flux background for QCD with $2$-index quarks
论文作者
论文摘要
我们研究量子染色体动力学，包括在小$ \ mathbb {r}^2 \ times t^2 $的小元素上，具有合适的磁性磁通量的小$ \ mathbb {r}^2 \ times t^2 $。我们首先讨论了这些理论的“ hoft异常”，并声称应该自发地断裂离散的手性对称性以满足异常匹配条件。带有磁性通量的$ t^2 $压实保留了't Hooft异常，并且$ 2 $ d的有效理论受到相同异常的约束$ 4 $ d QCD（SYM/ASYM）。我们使用中心涡旋的稀释气证明了手性对称性的自发分解，这证实了“ T Hooft异常的预测”。我们还发现，每个真空都保持电荷共轭对称性，这为QCD（SYM/ASYM）和$ \ MATHCAL {N} = 1 $ SUPERSYMYMMETYMMETRIC $ SU（N）$ SU（N）$ yang-Mills理论之间的非扰动大型$ n $ orientifold等价提供了肯定的支持。
We study quantum chromodynamics including the two-index symmetric or anti-symmetric quark (QCD(Sym/ASym)) on small $\mathbb{R}^2\times T^2$ with a suitable magnetic flux. We first discuss the 't Hooft anomaly of these theories and claim that discrete chiral symmetry should be spontaneously broken completely to satisfy the anomaly matching condition. The $T^2$ compactification with the magnetic flux preserves the 't Hooft anomaly, and the $2$d effective theory is constrained by the same anomaly of $4$d QCD(Sym/ASym). We demonstrate the spontaneous breakdown of chiral symmetry using the dilute gas of center vortices, which confirms the prediction of the 't Hooft anomaly. We also find that each vacuum maintains the charge conjugation symmetry, and this gives affirmative support for the nonperturbative large-$N$ orientifold equivalence between QCD(Sym/ASym) and $\mathcal{N}=1$ supersymmetric $SU(N)$ Yang-Mills theory.
