Deformed Cauchy random matrix ensembles and large N phase transitions

Deformed Cauchy random matrix ensembles and large N phase transitions

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...

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Bibliographic Details
Main Author: Jorge G. Russo
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Journal of High Energy Physics
Subjects:
Matrix Models
1/N Expansion
Online Access:http://link.springer.com/article/10.1007/JHEP11(2020)014
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spelling doaj-689dc732a678480d9f0b21fb13d8cc632020-11-25T04:07:57ZengSpringerOpenJournal of High Energy Physics1029-84792020-11-0120201111510.1007/JHEP11(2020)014Deformed Cauchy random matrix ensembles and large N phase transitionsJorge G. Russo0Institució Catalana de Recerca i Estudis Avançats (ICREA)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.http://link.springer.com/article/10.1007/JHEP11(2020)014Matrix Models1/N Expansion
collection DOAJ
language English
format Article
sources DOAJ
author Jorge G. Russo
spellingShingle Jorge G. Russo
Deformed Cauchy random matrix ensembles and large N phase transitions
Journal of High Energy Physics
Matrix Models
1/N Expansion
author_facet Jorge G. Russo
author_sort Jorge G. Russo
title Deformed Cauchy random matrix ensembles and large N phase transitions
title_short Deformed Cauchy random matrix ensembles and large N phase transitions
title_full Deformed Cauchy random matrix ensembles and large N phase transitions
title_fullStr Deformed Cauchy random matrix ensembles and large N phase transitions
title_full_unstemmed Deformed Cauchy random matrix ensembles and large N phase transitions
title_sort deformed cauchy random matrix ensembles and large n phase transitions
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-11-01
description 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.
topic Matrix Models
1/N Expansion
url http://link.springer.com/article/10.1007/JHEP11(2020)014
work_keys_str_mv AT jorgegrusso deformedcauchyrandommatrixensemblesandlargenphasetransitions
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