Solvable Quantum Grassmann Matrices

We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of an ordinary bosonic integral, which has an eigenvalue repulsi...

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Detalles Bibliográficos
Autores principales: Anninos, Dionysios, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Ciencias Exactas
Física
AdS/CFT correspondence
Correlation functions
Matrix models
Quantum phase transitions
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123980
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123980
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
AdS/CFT correspondence
Correlation functions
Matrix models
Quantum phase transitions
spellingShingle Ciencias Exactas
Física
AdS/CFT correspondence
Correlation functions
Matrix models
Quantum phase transitions
Anninos, Dionysios
Silva, Guillermo Ariel
Solvable Quantum Grassmann Matrices
topic_facet Ciencias Exactas
Física
AdS/CFT correspondence
Correlation functions
Matrix models
Quantum phase transitions
description We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of an ordinary bosonic integral, which has an eigenvalue repulsion term in the matrix case. We calculate real time correlations at finite temperature and analyze the thermal phase structure. When possible, calculations are performed in both the original Hilbert space as well as the bosonic picture, and the exact map between the two is explained. At large N, there is a phase transition to a highly entropic high temperature phase from a low temperature low entropy phase. Thermal two-point functions decay in time in the high temperature phase.
format Articulo
Articulo
author Anninos, Dionysios
Silva, Guillermo Ariel
author_facet Anninos, Dionysios
Silva, Guillermo Ariel
author_sort Anninos, Dionysios
title Solvable Quantum Grassmann Matrices
title_short Solvable Quantum Grassmann Matrices
title_full Solvable Quantum Grassmann Matrices
title_fullStr Solvable Quantum Grassmann Matrices
title_full_unstemmed Solvable Quantum Grassmann Matrices
title_sort solvable quantum grassmann matrices
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/123980
work_keys_str_mv AT anninosdionysios solvablequantumgrassmannmatrices
AT silvaguillermoariel solvablequantumgrassmannmatrices
bdutipo_str Repositorios
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