Monte Carlo Studies of the Dimensionally Reduced 4d SU(N) Super Yang-Mills Theory
Monte Carlo Studies of the Dimensionally Reduced 4d SU(N) Super Yang-Mills Theory
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降维4d SU(N)超杨-米尔斯理论的蒙特卡罗研究
DOI：
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发表时间：
2001
期刊：
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通讯作者：
J. Nishimura
中科院分区：
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作者：
J. Ambjorn;K. Anagnostopoulos;W. Bietenholz;T. Hotta;J. Nishimura
我们模拟了由四维SU(N)超杨-米尔斯理论降维得到的超对称矩阵模型。该模型对于有限的N是定义良好的，并且发现通过保持g^2 N不变而获得的大的N限制导致了表示弦振幅的定义良好的算子。讨论了由玻色矩阵的本征值动态产生的时空结构，以及超对称性对模型动力学性质的影响。江口-川井模型与普通规范理论的等价性在有限的尺度范围内成立。我们报告了对N到768的玻色子模型的最新模拟，证实了这一性质，这是一个令人惊讶的性质，因为没有引入猝灭或扭曲。
We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory. The model is well defined for finite N and it is found that the large N limit obtained by keeping g^2 N fixed gives rise to well defined operators which represent string amplitudes. The space-time structure which arises dynamically from the eigenvalues of the bosonic matrices is discussed, as well as the effect of supersymmetry on the dynamical properties of the model. Eguchi-Kawai equivalence of this model to ordinary gauge theory does hold within a finite range of scale. We report on new simulations of the bosonic model for N up to 768 that confirm this property, which comes as a surprise since no quenching or twist is introduced.