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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Main Authors: Ken-Ichi Aoki, Hidenari Uoi, Masatoshi Yamada
Format: Article
Language:English
Published: Elsevier 2016-02-01
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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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
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AT hidenariuoi functionalrenormalizationgroupstudyofthenambujonalasiniomodelatfinitetemperatureanddensityinanexternalmagneticfield
AT masatoshiyamada functionalrenormalizationgroupstudyofthenambujonalasiniomodelatfinitetemperatureanddensityinanexternalmagneticfield