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,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP07(2017)144 |
| _version_ | 1831751846941687808 |
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| author | M. Kellerstein J.J.M. Verbaarschot |
| author_facet | M. Kellerstein J.J.M. Verbaarschot |
| author_sort | M. Kellerstein |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T22:53:00Z |
| format | Article |
| id | doaj.art-e5d59baba5ab4ed88083f1b4c737f9c8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T22:53:00Z |
| publishDate | 2017-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e5d59baba5ab4ed88083f1b4c737f9c82022-12-21T18:47:32ZengSpringerOpenJournal 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 |
| 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 |
| title | 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_short | Bosonic partition functions at nonzero (imaginary) chemical potential |
| title_sort | bosonic partition functions at nonzero imaginary chemical potential |
| 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 |