NJL Model at Finite Chemical Potential in a Constant Magnetic Field

Abstract

We investigate the influence of an external magnetic field on chiral symmetry breaking in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential. According to the Fock-Schwinger proper-time method, we calculate the effective potential in the leading order of the $1/N_c$ expansion. The phase boundary dividing the symmetric phase and the broken phase is illustrated numerically. A complex behavior of the phase boundary is found for large chemical potential.

arXiv comment6 pages, 2 figures, Poster talk presented at the Workshop on Finite Density QCD at Nara, Japan, 10-12 July 2003; replaced two references

Cited by in corpus (15)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Magnetic Catalysis: A Review
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• Pion condensation of quark matter in the static Einstein universe
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Parameter fitting in three-flavor Nambu--Jona-Lasinio model with various regularizations
• Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?
• Inverse magnetic catalysis and confinement within a contact interaction model for quarks
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Magnetic-Field Induced Critical Endpoint