保形或约束（II）：单味CFTs和混合表示QCD
Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
摘要：
我们在S*1 × R*3上的形变理论和/或扭曲配分函数的理论控制框架下研究类QCD四维理论。利用对偶性，我们证明了一类单味理论表现出新的物理现象：拓扑无序算符凝聚导致的离散手征对称性破缺，以及新的非自对偶拓扑激发导致的禁闭和质量隙的产生.在R ~*4极限下，我们认为质量间隙消失，手征对称性破缺真空是逃逸型的，理论流到一个CFT。我们还研究了混合表示理论，并发现了阿贝尔手征对称性下的拓扑算子的阿贝尔手征对称性破缺。这让人想起，但不同的，从塞伯格-威滕理论与物质，其中4d单极子有非阿贝尔手征电荷。这种检查也有助于我们完善我们最近的边界上的共形窗口。在附录中，我们还讨论了混合矢量/手征表示理论，获得了它们的共形窗口的界限，并与arXiv：0911.0931的全阶β函数结果进行了比较。
英文摘要：
We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S*1 x R*3. By using duality, we show that a class of one-flavor theories exhibit new physical phenomena: discrete chiral symmetry breaking induced by the condensation of topological disorder operators, and confinement and the generation of mass gap due to new non-selfdual topological excitations. In the R*4 limit, we argue that the mass gap disappears, the chiral symmetry breaking vacua are of runaway type, and the theory flows to a CFT. We also study mixed-representation theories and find abelian chiral symmetry breaking by topological operators charged under abelian chiral symmetries. These are reminiscent to, but distinct, from Seiberg-Witten theory with matter, where 4d monopoles have non-abelian chiral charge. This examination also helps us refine our recent bounds on the conformal window. In an Addendum, we also discuss mixed vectorlike/chiral representation theories, obtain bounds on their conformal windows, and compare with the all-order beta function results of arXiv:0911.0931.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
