Fuzzy spaces and new random matrix ensembles

Details Fuzzy spaces and new random matrix ensembles Fuzzy spaces and new random matrix ensembles

2011-09-15

arxiv.org/abs/1109.3349v3

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure; version to appear in Phys. Rev. D

Scientific paper

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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