Large N dynamics of dimensionally reduced 4D SU(N) super Yang-Mills theory
Large N dynamics of dimensionally reduced 4D SU(N) super Yang-Mills theory
复制标题
降维4D SU(N)超杨-米尔斯理论的大N动力学
DOI：
10.1088/1126-6708/2000/07/013
复制
发表时间：
2000
影响因子：
5.4
通讯作者：
T. Hotta
中科院分区：
文献类型：
--
作者：
J. Ambjorn;Jun Nishimura;K. Anagnostopoulos;W. Bietenholz;T. Hotta
我们对一个超对称矩阵模型进行了Monte Carlo模拟，该模型是通过对4D SU（N）超Yang-Mills理论降维得到的。该模型可以被认为是一个四维对应的IIB矩阵模型。我们提取的时空结构所表示的玻色矩阵的特征值。特别是，我们比较了大N行为的时空范围与从低能量有效理论得到的结果。我们测量了各种威尔逊回路的振幅，代表弦振幅，我们观察到一个非平凡的普遍标度在N。我们还观察到江口川合等价于普通规范理论至少在有限尺度范围内成立。与玻色子的情况下的结果的比较澄清了大N动力学的超对称性的作用。它确实影响了多点扩散子的性质，但即使在玻色子的情况下也观察到了江口-川合等价性。
We perform Monte Carlo simulations of a supersymmetric matrix model, which is obtained by dimensional reduction of 4D SU(N) super Yang-Mills theory. The model can be considered as a four-dimensional counterpart of the IIB matrix model. We extract the space-time structure represented by the eigenvalues of bosonic matrices. In particular we compare the large-N behavior of the space-time extent with the result obtained from a low-energy effective theory. We measure various Wilson loop correlators which represent string amplitudes and we observe a non-trivial universal scaling in N. We also observe that the Eguchi-Kawai equivalence to ordinary gauge theory does hold at least within a finite range of scale. Comparison with the results for the bosonic case clarifies the role of supersymmetry in the large-N dynamics. It does affect the multi-point correlators qualitatively, but the Eguchi-Kawai equivalence is observed even in the bosonic case.