1109.3349 (V. P. Nair et al.)

Fuzzy spaces and new random matrix ensembles    [PDF]

V. P. Nair, A. P. Polychronakos, J. Tekel

We analyze the expectation value of observables in a scalar theory on the
fuzzy two sphere, represented as a generalized hermitian matrix model. We
calculate explicitly the form of the expectation values in the large-N limit
and demonstrate that, for any single kind of field (matrix), the distribution
of its eigenvalues is still a Wigner semicircle but with a renormalized radius.
For observables involving more than one type of matrix we obtain a new
distribution corresponding to correlated Wigner semicircles.

View original: http://arxiv.org/abs/1109.3349