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Published version

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2020-11-05

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cc-by (c) Russo, J. G. (Jorge Guillermo) , 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/179276

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

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https://doi.org/10.1007/JHEP11(2020)014

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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Química quàntica

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Quantum chemistry

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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RUSSO, J. G. (Jorge Guillermo). Deformed Cauchy random matrix ensembles and large $N$ phase transitions. Journal of High Energy Physics. 2020. Vol. 11, num. 14. ISSN 1126-6708. [consulted: 14 of August of 2026]. Available at: https://hdl.handle.net/2445/179276

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