Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field

Abstract

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.

6 pages, 6 figures, published version

References in corpus (8)

• Exact evolution equation for the effective potential
• The Chiral Magnetic Effect
• Chiral symmetry breaking in continuum QCD
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• Color superconducting matter in a magnetic field
• Exact flow equation for composite operators
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• The RG flow of Nambu--Jona-Lasinio model at finite temperature and density

Cited by in corpus (10)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and density within the fRG approach: An overview
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Functional renormalization group study of the Quark-Meson model with $\omega$ meson
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Phase structure of NJL model with weak renormalization group
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Anatomy of the magnetic catalysis by renormalization-group method
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature