Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
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共形或限制 (II)：单一 CFT 和混合表示 QCD
DOI：
10.1088/1126-6708/2009/12/011
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
M. Unsal
中科院分区：
文献类型：
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作者：
E. Poppitz;M. Unsal
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：由拓扑无序算符凝聚引起的离散手征对称性破缺，以及由新的非自对偶拓扑激发引起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，并发现阿贝尔手征对称性下的拓扑运营商负责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。这项检查还有助于我们完善适形窗口的最新界限。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。
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.