Abstract
We study a new hermitian one-matrix model containing a logarithmic Penner’s type term and another term, which can be obtained as a limit from logarithmic terms. For small coupling, the potential has an absolute minimum at the origin, but beyond a certain value of the coupling the potential develops a double well. For a higher critical value of the coupling, the system undergoes a large N third-order phase transition.
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ArXiv ePrint: 2006.00672
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Russo, J.G. Deformed Cauchy random matrix ensembles and large N phase transitions. J. High Energ. Phys. 2020, 14 (2020). https://doi.org/10.1007/JHEP11(2020)014
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DOI: https://doi.org/10.1007/JHEP11(2020)014