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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:0370-2693
1873-2445