Large N dynamics of dimensionally reduced 4D SU(N) super Yang-Mills theory

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Published 26 July 2000 Published under licence by IOP Publishing Ltd
, , Citation Jan Ambjørn et al JHEP07(2000)013 DOI 10.1088/1126-6708/2000/07/013

1126-6708/2000/07/013

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 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 rôle 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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10.1088/1126-6708/2000/07/013