标题： 尺度分离，强耦合紫外相，以及共形窗口边界的识别 显示英文标题

标题： Scale Separation, Strong Coupling UV Phases, and the Identification of the Edge of the Conformal Window

摘要： 我们使用一个简单的全息模型来讨论在强耦合规范理论中接近共形窗口边缘的情况，以从格点研究中获得启示。 行走规范理论在进入强耦合区域的尺度和手征对称性破缺的尺度之间存在一个间隙。 我们强调，在夸克-反夸克算符的异常维数达到临界值的尺度和凝聚物的尺度之间也可能存在一个间隙。 这可能会使在有限格点上使用低于固定点值的紫外裸耦合进行格点模拟时，难以确定共形窗口的边缘。 一种解决方法是在紫外截断处使用高于固定点值的耦合来研究该理论。 在这里，我们表明存在一个“人工”相，其中手征对称性破缺在紫外截断处被触发，并且该相可以任意接近共形窗口边缘的固定点。 我们量化了将一个手征对称性破缺理论误认为红外共形理论的可能性。 我们还量化了该人工相的位置，并将其调整到固定点值。 我们以[Hasenfratz:2023wbr]中最新格点结果作为测试案例，研究了SU(3)规范理论与十个夸克味的情况；我们得出结论，他们对该理论处于共形窗口内的识别是可靠的。 显示英文摘要

摘要： We use a simple holographic model to discuss approaching the edge of the conformal window in strongly coupled gauge theories to draw lessons for lattice studies. Walking gauge theories have a gap between the scale where they enter the strong coupling regime and the scale of chiral symmetry breaking. We highlight that there can also be a gap between the scale where the critical value of the quark anti-quark operator's anomalous dimension is passed and the scale of the condensate. This potentially makes identifying the edge of the conformal window in a lattice simulation with UV bare coupling below the fixed point value on a finite lattice difficult. A resolution is to study the theory with a coupling above the fixed point value at the UV cut off. Here we show that an ``artefact" phase with chiral symmetry breaking triggered at the UV cut off exists and lies arbitrarily close to the fixed point at the edge of the conformal window. We quantify the chance of a misidentification of a chiral symmetry breaking theory as IR conformal. We also quantify where the artefact phase lies, tuned to the fixed point value. We use the latest lattice results for SU(3) gauge theory with ten quark flavours in [Hasenfratz:2023wbr] as a test case; we conclude their identification that the theory is in the conformal window is reliable.