Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field
In this study, we investigate the Nambu–Jona-Lasinio (NJL) model at finite temperature and finite density in an external magnetic field using the functional renormalization group. We investigate the dependence of the position of the ultraviolet fixed point (UVFP) of the four-Fermi coupling constant...
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Format: | Article |
Language: | English |
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Elsevier
2016-02-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269315010114 |
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author | Ken-Ichi Aoki Hidenari Uoi Masatoshi Yamada |
author_facet | Ken-Ichi Aoki Hidenari Uoi Masatoshi Yamada |
author_sort | Ken-Ichi Aoki |
collection | DOAJ |
description | In this study, we investigate the Nambu–Jona-Lasinio (NJL) model at finite temperature and finite density in an external magnetic field using the functional renormalization group. We investigate the dependence of the position of the ultraviolet fixed point (UVFP) of the four-Fermi coupling constant on the temperature, density, and external magnetic field, and we obtain the chiral phase structure. The UVFP at low temperature and finite chemical potential oscillates in a small external magnetic field, which can be interpreted as the de Haas–van Alphen effect. We also obtain phase diagrams with complex structures, where the phase boundary moves back and forth as the external magnetic field increases in the low temperature and high density region. |
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format | Article |
id | doaj.art-9fa17dd0c497428cb798d0f515dbe0b4 |
institution | Directory Open Access Journal |
issn | 0370-2693 1873-2445 |
language | English |
last_indexed | 2024-12-10T10:50:03Z |
publishDate | 2016-02-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj.art-9fa17dd0c497428cb798d0f515dbe0b42022-12-22T01:52:02ZengElsevierPhysics Letters B0370-26931873-24452016-02-01753C58058510.1016/j.physletb.2015.12.063Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic fieldKen-Ichi AokiHidenari UoiMasatoshi YamadaIn this study, we investigate the Nambu–Jona-Lasinio (NJL) model at finite temperature and finite density in an external magnetic field using the functional renormalization group. We investigate the dependence of the position of the ultraviolet fixed point (UVFP) of the four-Fermi coupling constant on the temperature, density, and external magnetic field, and we obtain the chiral phase structure. The UVFP at low temperature and finite chemical potential oscillates in a small external magnetic field, which can be interpreted as the de Haas–van Alphen effect. We also obtain phase diagrams with complex structures, where the phase boundary moves back and forth as the external magnetic field increases in the low temperature and high density region.http://www.sciencedirect.com/science/article/pii/S0370269315010114 |
spellingShingle | Ken-Ichi Aoki Hidenari Uoi Masatoshi Yamada Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field Physics Letters B |
title | Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field |
title_full | Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field |
title_fullStr | Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field |
title_full_unstemmed | Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field |
title_short | Functional renormalization group study of the Nambu–Jona-Lasinio model at finite temperature and density in an external magnetic field |
title_sort | functional renormalization group study of the nambu jona lasinio model at finite temperature and density in an external magnetic field |
url | http://www.sciencedirect.com/science/article/pii/S0370269315010114 |
work_keys_str_mv | AT kenichiaoki functionalrenormalizationgroupstudyofthenambujonalasiniomodelatfinitetemperatureanddensityinanexternalmagneticfield AT hidenariuoi functionalrenormalizationgroupstudyofthenambujonalasiniomodelatfinitetemperatureanddensityinanexternalmagneticfield AT masatoshiyamada functionalrenormalizationgroupstudyofthenambujonalasiniomodelatfinitetemperatureanddensityinanexternalmagneticfield |