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Deformed Cauchy random matrix ensembles and large $N$ phase transitions

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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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Journal of High Energy Physics, 2020, vol. 11, num. 14

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cc-by (c) Russo, J. G. (Jorge Guillermo) , 2020

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Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Deformed Cauchy random matrix ensembles and large $N$ phase transitions