论文标题
RG在2D QCD中流动
RG flows in 2d QCD
论文作者
论文摘要
2D QCD，Yang-Mills理论，具有G组G和无质量的QCD，在G的表示（R_ \ Ell，R_R）中，在红外流向CFT或TQFT，具体取决于频谱是无间隙还是间隔。我们确定红外有效理论，并在紫外线和IR中的QCD操作员之间构建明确的RG流量图，特别是确定哪些操作员在IR中产生了巨大的激发和解散，以及那些产生无质量激发或vacua并将其保持为非繁琐的IR算子的量子。我们确定保留在IR中的QCD运算符的确切缩放尺寸，该QCD操作员通常会获得大型异常尺寸。我们还研究了各种操作员在紫外线中变形的QCD（例如质量术语或四fermi相互作用），并确定在低能量下出现的理论。我们猜想并提供了一些证据，证明了QCD的变形。各种操作员开发了一种非扰动的费米式冷凝物，该冷凝物会动态打破规格对称g，从而明确地意识到了在精确溶解环境中被称为“翻滚”的旧思想。
2d QCD, Yang-Mills theory with gauge group G and massless quarks in representations (R_\ell, R_r) of G, flows in the infrared to a CFT or a TQFT depending on whether spectrum is gapless or gapped. We identify the infrared effective theory and construct the explicit RG flow map between the QCD operators in the UV and the IR, in particular identifying which operators create massive excitations and decouple in the IR, and those that create massless excitations or vacua and remain as nontrivial IR operators. We determine the exact scaling dimensions of the QCD operators that remain in the IR, which generically acquire large anomalous dimensions. We also study QCD deformed by various operators in the ultraviolet (such as mass terms or four-fermi interactions), and determine the theory that emerges at low energies. We conjecture and provide some evidence for QCD deformed by various operators developing a nonperturbative fermion condensate that dynamically breaks the gauge symmetry G, thus explicitly realizing an old idea known as "tumbling" in an exactly soluble setting.
