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Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory

J. Ambjorn·K. N. Anagnostopoulos·W. Bietenholz·T. Hotta·J. Nishimura
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Abstract

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 nontrivial 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.

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J. Ambjorn, K. N. Anagnostopoulos, W. Bietenholz, T. Hotta, J. Nishimura. 2000-03-23. Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory. https://doi.org/10.1088/1126-6708%2F2000%2F07%2F013

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