论文标题
手性量规理论中的动态倍倍化和异常
Dynamical Abelianization and anomalies in chiral gauge theories
论文作者
论文摘要
我们探讨了这样的想法，即在某些强耦合的手性$ su（n）$量表理论中，红外动力学可能以双向凝结群的双向凝结为特征。作为例子，在这项工作中，我们重新访问了$ su（n）$手性量规理论，其中具有对称（$ψ$）和抗抗抗抗对称（$χ$）张量表示的weyl fermions，以及八个在反基额表示（$η$）中的费米子，我们称之为$ψC的模型。我们通过假设动态的Abelianization，这是$ {\ cal n} = 2 $超对称仪表理论的熟悉的现象，并通过分析在低能量下实现了各种连续和离散的对称性的方式，从而更仔细地研究了该系统的红外动力学。通过考虑一些更高形式的对称性以及随之而来的混合异常，我们将这些想法提交了更严格的测试。对涉及某些$ 0 $ -form $ u（1）$ symmetries的混合异常的详细分析和$ 1 $ 1 $ -form $ z_n $ symemetry in $ψχη$系统中的颜色锁定的分析表明，所提出的红外动态与之一致。
We explore the idea that in some class of strongly-coupled chiral $SU(N)$ gauge theories the infrared dynamics might be characterized by a bifermion condensate in the adjoint representation of the color gauge group. As an illustration, in this work we revisit an $SU(N)$ chiral gauge theory with Weyl fermions in a symmetric ($ψ$) and anti-antisymmetric ($χ$) tensor representations, together with eight fermions in the anti-fundamental representations ($η$), which we called $ψχη$ model in the previous investigations. We study the infrared dynamics of this system more carefully, by assuming dynamical Abelianization, a phenomenon familiar from ${\cal N}=2$ supersymmetric gauge theories, and by analyzing the way various continuous and discrete symmetries are realized at low energies. We submit then these ideas to a more stringent test, by taking into account some higher-form symmetries and the consequent mixed anomalies. A detailed analysis of the mixed anomalies involving certain $0$-form $U(1)$ symmetries and the color-flavor locked $1$-form $Z_N$ symmetry in the $ψχη$ system shows that the proposed infrared dynamics is consistent with it.
