Filev, Veselin G. and O'Connor, Denjoe (2013) Multi-matrix models at general coupling. Journal of Physics A: Mathematical and Theoretical, 46 (47). p. 475403. ISSN 1751-8113
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Abstract
The eigenvalue distribution of Hoppe’s two matrix model is investigated in detail as a function of the model’s coupling. For small couplings it is a perturbed Wigner semicircle, while for large couplings it is a parabolic distribution which crosses over to a Wigner semicircle for eigenvalues within approximately an inverse coupling from the boundary of the distribution. The model is approximately commuting at large couplings and we find the joint eigenvalue distribution of the two matrices. We also study a related three matrix model finding the corresponding three dimensional eigenvalue distribution there also. The techniques developed here are more widely applicable to other multi-matrix models.
Item Type: | Article |
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Uncontrolled Keywords: | Matrix Models, 1/N Expansion |
Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 05 Oct 2017 19:27 |
Last Modified: | 15 Dec 2022 15:37 |
URI: | https://dair.dias.ie/id/eprint/300 |
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