Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
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非阿贝尔对偶性和限制：从 N=2 到 N=1 超对称 QCD
DOI：
10.1103/physrevd.83.105021
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发表时间：
2011
影响因子：
5
通讯作者：
A. Yung
中科院分区：
文献类型：
--
作者：
M. Shifman;A. Yung
最近，我们发现并讨论了N=2超yang - mills理论中具有U(N)规范群和N{sub f}口味（N{sub f}>N）的夸克真空中的非阿贝尔对偶性。来自对偶对的两种理论都支持限制单极子的非阿贝尔弦。现在我们引入一个N=2破缺变形，伴随场的质量项{mu} a {sup 2}。从一个小的变形开始，我们最终使它变大，这强制了伴随场的完全解耦。我们证明了上述非阿贝尔对偶性在N=1超对称QCD （SQCD）的极限下完全存在，尽管一些技术上的改变。例如，曾经在N=2极限下是饱和的Bogomol'nyi-Prasad-Sommerfield的非阿贝尔字符串，在N=1 SQCD下不再饱和。我们的对偶是N=1 SQCD中Seiberg对偶的远亲。两者有一些共同的特点，但也有许多显著的区别。这是因为Seiberg的二象性适用于单极子而不是夸克真空。更具体地说，在我们的理论中，我们处理N<N{f}<(3/2)N个大质量夸克口味。我们考虑N个夸克凝聚的真空。然后，我们确定了从弱耦合到强耦合的交叉过渡。在强耦合下，我们发现了一个对偶理论，U(N{下标f}-N) SQCD，具有N{下标f}光多色。Dyons凝聚触发非阿贝尔弦的形成，这限制了单极子。原理论的屏蔽夸克和规范玻色子衰变成受限的单极-反单极对，形成弦介子。«少
Recently, we discovered and discussed non-Abelian duality in the quark vacua of N=2 super-Yang-Mills theory with the U(N) gauge group and N{sub f} flavors (N{sub f}>N). Both theories from the dual pair support non-Abelian strings, which confine monopoles. Now we introduce an N=2-breaking deformation, a mass term {mu}A{sup 2} for the adjoint fields. Starting from a small deformation, we eventually make it large, which enforces complete decoupling of the adjoint fields. We show that the above non-Abelian duality fully survives in the limit of N=1 supersymmetric QCD (SQCD), albeit some technicalities change. For instance, non-Abelian strings which used to be Bogomol'nyi-Prasad-Sommerfield saturated in the N=2 limit, cease to be saturated in N=1 SQCD. Our duality is a distant relative of Seiberg's duality in N=1 SQCD. Both share some common features, but have many drastic distinctions. This is due to the fact that Seiberg's duality apply to the monopole rather than quark vacua. More specifically, in our theory we deal with N<N{sub f}<(3/2)N massive quark flavors. We consider the vacuum in which N squarks condense. Then we identify a crossover transition from weak to strong coupling. At strong coupling, we find a dual theory, U(N{sub f}-N) SQCD, with N{sub f} lightmore » dyon flavors. Dyons condense triggering the formation of non-Abelian strings, which confine monopoles. Screened quarks and gauge bosons of the original theory decay into confined monopole-antimonopole pairs and form stringy mesons.« less