论文标题
进入共形窗口：多代表量规理论
Into the conformal window: multi-representation gauge theories
论文作者
论文摘要
我们研究了具有多个表示的费米子物质字段的四维规定理论的共形窗口。特别相关的例子是超紫色完整模型，其中有两个不同的表示，在复合希格斯和顶部部分兼容性的背景下考虑了两个不同的表示。我们首先讨论各种分析方法，以揭示保形窗口的下边缘及其扩展到多物质表示。特别是，我们认为，与方案无关的系列扩展是在红外固定点处fermion双线性的异常维度的扩展，$γ_ {\barχχC，\，\，{\ rm ir}} $与概要的关键条件相结合，$γ_ {\ barb $} = 1 1 $γ_ {\barχχ，\，{\ rm ir}}（2-γ_ {\barχχ，\，\，{\ rm ir}}）= 1 $，可用于确定完全物理基础上的完美相位过渡的边界。在$ su（2）$（2）$和$ su（3）$（3）$ n_r $ dirac fermions的说明性案例中，我们通过与其他分析或晶格结果进行比较来评估结果。
We investigate the conformal window of four-dimensional gauge theories with fermionic matter fields in multiple representations. Of particularly relevant examples are the ultra-violet complete models with fermions in two distinct representations considered in the context of composite Higgs and top partial-compositeness. We first discuss various analytical approaches to unveil the lower edge of the conformal window and their extension to the multiple matter representations. In particular, we argue that the scheme-independent series expansion for the anomalous dimension of a fermion bilinear at an infrared fixed point, $γ_{\barχχ,\,{\rm IR}}$, combined with the conjectured critical condition, $γ_{\barχχ,\,{\rm IR}} = 1$ or equivalently $γ_{\barχχ,\,{\rm IR}} (2-γ_{\barχχ,\,{\rm IR}})=1$, can be used to determine the boundary of conformal phase transition on fully physical grounds. In illustrative cases of $SU(2)$ and $SU(3)$ theories with $N_R$ Dirac fermions in various representations, we assess our results by comparing to other analytical or lattice results.
