Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-23
JHEP 0007 (2000) 013
Physics
High Energy Physics
High Energy Physics - Theory
35 pages, 17 figures
Scientific paper
10.1088/1126-6708/2000/07/013
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.
Ambjorn Jan
Anagnostopoulos Konstantinos N.
Bietenholz Wolfgang
Hotta Takashi
Nishimura Jun
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