N = 1 supersymmetric quantum chromodynamics : How confined non-Abelian monopoles emerge from quark condensation
N = 1 supersymmetric quantum chromodynamics : How confined non-Abelian monopoles emerge from quark condensation
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N = 1 超对称量子色动力学：夸克凝聚如何产生受限非阿贝尔单极子
DOI：
10.1103/physrevd.75.065032
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发表时间：
2007
影响因子：
5
通讯作者：
A. Yung
中科院分区：
文献类型：
--
作者：
A. Gorsky;M. Shifman;A. Yung;A. Yung
本文考虑N=1超对称QCD，其规范群为U（N），夸克味数为N{sub f}=N。为了摆脱平坦的方向，我们添加了一个介子超场。该理论没有伴随场，因此在准经典极限下没有Hooft-Polyakov单极。我们观察到一个非阿贝尔迈斯纳效应：色荷（方）的凝聚产生受限的单极子。在没有伴随标量的N=1超对称QCD中，它们的存在这一事实以前是未知的。我们的分析是分析的，是基于这样一个事实，即考虑中的N=1理论可以从N=2 SQCD开始获得，其中t Hooft-Polyakov单极子确实存在，通过一定的限制程序，使我们能够跟踪这些单极子在各个阶段的状态。单极子被Bogomol'nyi-Prasad-Sommerfield（BPS）非阿贝尔弦（通量管）限制。弦取向零模的动力学行为用弦世界片上的超对称CP（N-1）σ模型描述。如果能找到一个N=1的SQCD的对偶，它具有规范群U（N）和N{sub f}=N夸克味，那么在这个对偶理论中，我们的证明就等价于非阿贝尔对偶Meissner效应的证明。
We consider N=1 supersymmetric QCD with the gauge group U(N) and N{sub f}=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the quasiclassical limit. We observe a non-Abelian Meissner effect: condensation of color charges (squarks) gives rise to confined monopoles. The very fact of their existence in N=1 supersymmetric QCD without adjoint scalars was not known previously. Our analysis is analytic and is based on the fact that the N=1 theory under consideration can be obtained starting from N=2 SQCD in which the 't Hooft-Polyakov monopoles do exist, through a certain limiting procedure allowing us to track the status of these monopoles at various stages. Monopoles are confined by Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian strings (flux tubes). Dynamics of string orientational zero modes are described by a supersymmetric CP(N-1) sigma model on the string world sheet. If a dual of N=1 SQCD with the gauge group U(N) and N{sub f}=N quark flavors could be identified, in this dual theory our demonstration would be equivalent to the proof of the non-Abelian dual Meissner effect.