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Paper detail

Fuzzy spaces and new random matrix ensembles

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.

preprint2012arXivOpen access
V. P. NairA. P. PolychronakosJ. Tekel
cond-mat.stat-mechmath-phmath.MPhep-th
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V. P. NairA. P. PolychronakosJ. Tekel

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