arXiv 2101.026012021-01hep-thhep-ph

用广义反常探讨手征SU（N）规范理论的动力学

Probing the dynamics of chiral SU(N) gauge theories via generalized anomalies

Stefano Bolognesi, Kenichi Konishi, Andrea Luzio

备注：: 43 pages, 3 figures
发表信息：: Phys. Rev. D 103, 094016 (2021)
DOI：: 10.1103/PhysRevD.103.094016

摘要：

我们研究了手征$SU(N)$规范理论的对称性和动力学，其中物质外尔费米子在双指数对称（$ψ$）或反对称张量（$χ$）表示中，以及$N \pm 4 + p $费米子在反基本（$η$）和$p$费米子在基本（$ξ$）表示中。它们被称为Bars-Yankielowicz模型（前者）和广义Georgi-Gillhow模型（后者）。传统的特胡夫特异常匹配算法是已知的，允许在所有这些模型中的封闭，手征对称真空，与一组简单的无质量重子类复合费米子描述红外物理。我们最近分析了其中的一个模型（$ψη$模型），通过应用广义对称性的思想和随之而来的涉及某些混合反常的更强约束，发现封闭的手征对称真空实际上是不一致的。本文将这一结果推广到更广泛的一类Bars-Yankielowicz模型和广义Georgi-Escherhow模型。结果表明，对于所有这些模型与$N$和$p$都甚至，至少，广义异常匹配的要求禁止的持久性的完整的手征对称性在红外线，如果系统的限制。最自然和一致的可能性是一些双费米子凝聚的形成，动态地打破了色规范对称性，以及部分的整体对称性。

英文摘要：

We study symmetries and dynamics of chiral $SU(N)$ gauge theories with matter Weyl fermions in a two-index symmetric ($ψ$) or anti-symmetric tensor ($χ$) representation, together with $N \pm 4 + p $ fermions in the anti-fundamental ($η$) and $p$ fermions in the fundamental ($ξ$) representations. They are known as the Bars-Yankielowicz (the former) and the generalized Georgi-Glashow models (the latter). The conventional 't Hooft anomaly matching algorithm is known to allow a confining, chirally symmetric vacuum in all these models, with a simple set of massless baryonlike composite fermions describing the infrared physics. We analyzed recently one of these models ($ψη$ model), by applying the ideas of generalized symmetries and the consequent, stronger constraints involving certain mixed anomalies, finding that the confining, chirally symmetric, vacuum is actually inconsistent. In the present paper this result is extended to a wider class of the Bars-Yankielowicz and the generalized Georgi-Glashow models. It is shown that for all these models with $N$ and $p$ both even, at least, the generalized anomaly matching requirement forbids the persistence of the full chiral symmetries in the infrared if the system confines. The most natural and consistent possibility is that some bifermion condensates form, breaking the color gauge symmetry dynamically, together with part of the global symmetry.

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