Bosonic partition functions at nonzero (imaginary) chemical potential

Bosonic partition functions at nonzero (imaginary) chemical potential

Abstract We consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition function. We find that as long as results are finite,...

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Main Authors: M. Kellerstein, J.J.M. Verbaarschot
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of High Energy Physics
Subjects:
Matrix Models
Spontaneous Symmetry Breaking
Random Systems
Online Access:http://link.springer.com/article/10.1007/JHEP07(2017)144
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spelling doaj-e5d59baba5ab4ed88083f1b4c737f9c82020-11-25T01:17:22ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017713010.1007/JHEP07(2017)144Bosonic partition functions at nonzero (imaginary) chemical potentialM. Kellerstein0J.J.M. Verbaarschot1Department of Physics and Astronomy, Stony Brook UniversityDepartment of Physics and Astronomy, Stony Brook UniversityAbstract We consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition function. We find that as long as results are finite, the phase transition of the fermionic theory persists in the bosonic theory. However, in case that the bosonic partition function diverges and has to be regularized, the phase transition of the fermionic theory does not occur in the bosonic theory, and the bosonic theory is always in the broken phase.http://link.springer.com/article/10.1007/JHEP07(2017)144Matrix ModelsSpontaneous Symmetry BreakingRandom Systems
collection DOAJ
language English
format Article
sources DOAJ
author M. Kellerstein
J.J.M. Verbaarschot
spellingShingle M. Kellerstein
J.J.M. Verbaarschot
Bosonic partition functions at nonzero (imaginary) chemical potential
Journal of High Energy Physics
Matrix Models
Spontaneous Symmetry Breaking
Random Systems
author_facet M. Kellerstein
J.J.M. Verbaarschot
author_sort M. Kellerstein
title Bosonic partition functions at nonzero (imaginary) chemical potential
title_short Bosonic partition functions at nonzero (imaginary) chemical potential
title_full Bosonic partition functions at nonzero (imaginary) chemical potential
title_fullStr Bosonic partition functions at nonzero (imaginary) chemical potential
title_full_unstemmed Bosonic partition functions at nonzero (imaginary) chemical potential
title_sort bosonic partition functions at nonzero (imaginary) chemical potential
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2017-07-01
description Abstract We consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition function. We find that as long as results are finite, the phase transition of the fermionic theory persists in the bosonic theory. However, in case that the bosonic partition function diverges and has to be regularized, the phase transition of the fermionic theory does not occur in the bosonic theory, and the bosonic theory is always in the broken phase.
topic Matrix Models
Spontaneous Symmetry Breaking
Random Systems
url http://link.springer.com/article/10.1007/JHEP07(2017)144
work_keys_str_mv AT mkellerstein bosonicpartitionfunctionsatnonzeroimaginarychemicalpotential
AT jjmverbaarschot bosonicpartitionfunctionsatnonzeroimaginarychemicalpotential
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