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arXiv 0904.3117hep-ph
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热SUSY理论中弱耦合下的空间t Hooft环

Spatial 't Hooft loop in hot SUSY theories at weak coupling

Chris P. Korthals Altes

摘要:

在SU(N)/Z(N)规范理论中,空间“t Hooft环”测量色电通量.它是狄拉克Z(N)通量的闭环,强度k=1,2,.,N-1分析了{ \cal N} =1、2和4阶SUSY理论以上(包括立方阶)高温相的一般k和小规范耦合。在一个循环顺序没有质的差异与gluodynamics显示。然而,两个回路的顺序显示对数发散出现在壁的中心。这是因为胶子在中心变成玻色子,并获得长波长激发。我们讨论了由于胶子零模式而导致的这种分歧的解决方法。Casimir标度的物理解释。立方阶数可以通过简单地重新标度德拜质量和卡西米尔参数$k/N_c$从胶子动力学得到。

英文摘要:

The spatial 't Hooft loop measures the colour electric flux in SU(N)/Z(N) gauge theory. It is a closed loop of Dirac Z(N) flux and has strength k=1, 2,.., N-1. It is analyzed for generic k and small gauge coupling in the high temperature phase of {\cal N} =1, 2 and 4 SUSY theory up and including cubic order. In one loop order no qualitative difference with gluodynamics shows. However the two loop order shows a logarithmic divergence appear in the centre of the wall. This is because the gluinos become bosonic in the centre and acquire long wavelength excitations. We discuss the cure for this divergence, due to a gluino zero mode. The physics of Casimir scaling is explained. The cubic order can be obtained from gluodynamics by simple rescalings of the Debye masses and the Casimir parameter $k/N_c$.

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