Confinement in N = 1 supersymmetric QCD : One step beyond Seiberg's duality

Confinement in N = 1 supersymmetric QCD : One step beyond Seiberg's duality
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N = 1 超对称 QCD 中的限制:超越 Seiberg 对偶性的一步

DOI:
10.1103/physrevd.76.045005
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发表时间:
2007
期刊:
影响因子:
5
通讯作者:
A. Yung
A. Yung
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Shifman;A. Yung

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本文考虑N=1超对称量子色动力学(SQCD),其规范群为U(N{sub c}),夸克味数为N{sub c}+N。N{sub c}味是无质量的;相应的夸克场在希格斯分支上产生(小)真空期望值(VEV)。额外的N味被赋予小(和相等)的质量项。我们通过它的Seiberg对偶:U(N)规范理论与N{sub c}+N口味的“对偶夸克”场加规范单重介子场M来研究这个理论。最初的理论被称为“夸克理论”,而对偶理论被称为“夸克理论”。建议的轻微变形塞伯格的程序改变了动力学制度的红外线自由的渐近自由在大距离的理论。我们表明,在凝聚的对偶夸克,对偶理论支持非阿贝尔通量管(弦)。塞伯格的对偶性超越了纯粹的无质量状态,包括两边的轻态。用夸克理论解释,夸克理论通量管被认为携带色电场。弦结--受限的夸克理论单极子--可以被看作是原始夸克理论的“组成夸克”。我们将闭弦解释为原始夸克理论的胶球。此外,还有由一对不同的非阿贝尔弦连接的两个结点形成的弦结构。它们可以被认为是夸克理论中的夸克介子。«少
We consider N=1 supersymmetric quantum chromodynamics (SQCD) with the gauge group U(N{sub c}) and N{sub c}+N quark flavors. N{sub c} flavors are massless; the corresponding squark fields develop (small) vacuum expectation values (VEVs) on the Higgs branch. Extra N flavors are endowed with small (and equal) mass terms. We study this theory through its Seiberg's dual: U(N) gauge theory with N{sub c}+N flavors of 'dual quark' fields plus a gauge-singlet mesonic field M. The original theory is referred to as 'quark theory' while the dual one is termed 'monopole theory'. The suggested mild deformation of Seiberg's procedure changes the dynamical regime of the monopole theory from infrared free to asymptotically free at large distances. We show that, upon condensation of the dual quarks, the dual theory supports non-Abelian flux tubes (strings). Seiberg's duality is extended beyond purely massless states to include light states on both sides. Being interpreted in terms of the quark theory, the monopole-theory flux tubes are supposed to carry chromoelectric fields. The string junctions - confined monopole-theory monopoles - can be viewed as 'constituent quarks' of the original quark theory. We interpret closed strings as glueballs of the original quark theory. Moreover, there are string configurations formedmore » by two junctions connected by a pair of different non-Abelian strings. These can be considered as constituent quark mesons of the quark theory.« less