MPS-RR 2000-20

May 2000

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

by:

### K.N. Anagnostopoulos, W. Bietenholz, T. Hotta, J. Nishimura

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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This paper has now been published in *J. High Energy Phys. (2000) 013*