arXiv 2004.066392020-04hep-thhep-lathep-ph

手征$SU(N)$规范理论中对称性的动力学

Dynamics from symmetries in chiral $SU(N)$ gauge theories

Stefano Bolognesi, Kenichi Konishi, Andrea Luzio

备注：: Latex 34 pages, 3 figures

摘要：

利用广义对称性、离散中心1-形式对称性和混合t Hooft反常的最新发展，研究了简单手征$SU(N)$规范理论的对称性和动力学，其中物质Weyl费米子为双指数对称张量，$N+4$为反基本表象.这类模型特别有趣，因为传统的特胡夫特反常匹配约束允许手征对称的封闭真空，没有凝聚打破$U(1) \times SU(N+4)$味对称性，并且某些无质量的类重子复合费米子饱和了所有相关的反常三角形。计算结果表明，在这样的真空中，某些$0$型$-$ $1$型混合t Hooft反常的紫外-红外匹配失效。这意味着，至少对于具有甚至$N$的理论，文献中早先设想的手征对称约束真空实际上不能动态地实现。相比之下，希格斯阶段的特点是一些规范非不变的双费米子凝聚通过我们改进的审查。

英文摘要：

The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments involving the ideas of generalized symmetries, gauging of discrete center 1-form symmetries and mixed 't Hooft anomalies. This class of models are particularly interesting because the conventional 't Hooft anomaly matching constraints allow a chirally symmetric confining vacuum, with no condensates breaking the $U(1) \times SU(N+4)$ flavor symmetry, and with certain set of massless baryonlike composite fermions saturating all the associated anomaly triangles. Our calculations show that in such a vacuum the UV-IR matching of some $0$-form$-$$1$-form mixed 't Hooft anomalies fails. This implies, for the theories with even $N$ at least, that a chirally symmetric confining vacuum contemplated earlier in the literature actually cannot be realized dynamically. In contrast, a Higgs phase characterized by some gauge-noninvariant bifermion condensates passes our improved scrutiny.

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