Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory
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.
Cite
@article{arxiv.hep-th/0003208,
title = {Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory},
author = {J. Ambjorn and K. N. Anagnostopoulos and W. Bietenholz and T. Hotta and J. Nishimura},
journal= {arXiv preprint arXiv:hep-th/0003208},
year = {2009}
}
Comments
35 pages, 17 figures