关于任意大N的渐近自由且无反常的SU(N)手征规范理论
On asymptotically and anomaly-free SU(N) chiral gauge theories for arbitrarily large N
浏览论文内容
中文总结 AI 辅助
本文计算了Eichten-Kang-Koh目录中渐近自由且无反常的SU(N)手征规范理论的全局对称性与't Hooft反常，包括分数通量贡献，并提出满足反常匹配条件的红外行为新方案。
中文摘要 AI 辅助
Eichten、Kang和Koh构建了一个包含大量允许大N极限的渐近自由且无反常的SU(N)手征规范理论的目录。在此，我们计算了这些理论对称群的全局结构，并列出了忠实对称性的't Hooft反常，包括那些仅在携带分数通量的背景中可见的反常。目录中的大多数理论包含基本带电物质，且不支持真正的一形式电中心对称性。然而，分数通量仍然从忠实商中产生，并以与一形式对称性的二形式背景相同的方式对反常做出贡献。我们使用两种方法计算反常：首先采用下降程序，其次将理论置于四维环面上，该环面支持背景规范场的扭转通量。我们讨论了一系列候选红外行为，并给出了一般性讨论，说明如何匹配与分数通量相关的反常，从而在普通零形式反常匹配之外进一步约束这些理论。基于大N推理，我们为一对模型的红外行为提出了新建议，该建议与零形式't Hooft反常匹配条件一致。涉及分数通量的匹配条件构成了一个额外测试，而该情景被证明能够通过。
英文摘要
A large catalog of asymptotically free and anomaly-free SU(N) chiral gauge theories that admit a large-N limit was constructed by Eichten, Kang, and Koh. Here we compute the global structure of their symmetry groups and tabulate the 't Hooft anomalies of the faithful symmetries, including those that are visible only in backgrounds carrying fractional flux. Most theories in the catalog contain fundamentally charged matter and support no genuine one-form electric center symmetry. However, fractional fluxes still arise from the faithful quotient and contribute to the anomaly in the same way as a two-form background for a one-form symmetry. The anomalies are computed using two methods, first with the descent procedure, and second by placing the theory on a four-torus, which supports twisted fluxes for background gauge fields. We discuss a selection of candidate IR behaviors and present a general discussion of how matching the anomalies associated with fractional flux can constrain infrared descriptions beyond the imposition of ordinary zero-form anomaly matching at the level of triangle diagrams. Based on large-N reasoning, we formulate a new proposal for the IR behavior of a pair of models, consistent with the ordinary zero-form 't Hooft anomaly matching conditions. In this case the matching condition involving fractional flux is satisfied automatically as a consequence of ordinary matching.
发表机构
- Illinois Center for Advanced Studies of the Universe（伊利诺伊大学宇宙高级研究中心）
- Department of Physics, University of Illinois at Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校物理系）
机构由 AI 辅助整理，请以论文原文为准。
