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arXiv · 1109.3349

Fuzzy spaces and new random matrix ensembles

V. P. Nair·A. P. Polychronakos·J. Tekel
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Abstract

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.

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V. P. Nair, A. P. Polychronakos, J. Tekel. 2012-02-13. Fuzzy spaces and new random matrix ensembles. https://doi.org/10.1103/physrevd.85.045021

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