论文标题

在轴域墙壁上进行解密

Deconfinement on axion domain walls

论文作者

Anber, Mohamed M., Poppitz, Erich

论文摘要

我们研究$ su(n_c)$仪表理论,具有dirac fermions在表示形式中的$ {\ cal {r}} $ nonzero $ n $ - gitaly-gitaly,耦合到轴。这些理论具有精确的离散性手性对称性,它与一般的Baryon-Color-Fravor背景具有混合的“蹄异常”,称为ARXIV中的“ BCF异常”:1909.09027。红外理论还具有出现的$ \ Mathbb z_ {n_c}^{(1)} $ 1 $ - 形式中心对称性。我们表明,BCF异常在轴域壁的红外匹配。我们认为$ \ Mathbb z_ {n_c}^{(1)} $在轴突域墙壁上自发折断,因此非零$ n $ n $ - 性Wilson loops遵守周边法律和探测夸克在墙壁上被剥夺。我们通过使用可计算的小环压缩来研究轴突域壁的多尺度结构以及在其世界烟雾中脱浓的微观物理学,从而为我们的结论提供进一步的支持。

We study $SU(N_c)$ gauge theories with Dirac fermions in representations ${\cal{R}}$ of nonzero $N$-ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed 't Hooft anomaly with general baryon-color-flavor backgrounds, called the "BCF anomaly" in arXiv:1909.09027. The infrared theory also has an emergent $\mathbb Z_{N_c}^{(1)}$ $1$-form center symmetry. We show that the BCF anomaly is matched in the infrared by axion domain walls. We argue that $\mathbb Z_{N_c}^{(1)}$ is spontaneously broken on axion domain walls, so that nonzero $N$-ality Wilson loops obey the perimeter law and probe quarks are deconfined on the walls. We give further support to our conclusion by using a calculable small-circle compactification to study the multi-scale structure of the axion domain walls and the microscopic physics of deconfinement on their worldvolume.

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