Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field

Abstract

In this paper we develop a new method that is different from Schwinger proper time method to deduce the fermion propagator with a constant external magnetic field. In the NJL model, we use this method to find out the gap equation at zero and non-zero temperature, and give the numerical results and phase diagram between magnetic field and temperature. Beside these, we also introduce current mass to study the susceptibilities, because there is a new parameter (the strength of external magnetic field) in this problem, corresponding this new parameter, we have defined a new susceptibility ${\chi }_B$ to compare with the other two susceptibilities ${\chi }_c$ (chiral susceptibility) and ${\chi }_T$ (thermal susceptibility), and all of the three susceptibilities show than when current mass is not zero, the phase transition is a crossover, while for comparison, in the chiral limit, the susceptibilities show a second order phase transition. At last, we give out the critical coefficients of different susceptibilities in the chiral limit.

17 pages, 17 figures

References in corpus (5)

• Scale for the Phase Diagram of Quantum Chromodynamics
• Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields
• Nonlinear susceptibilities under the framework of Dyson-Schwinger equations
• Revisiting the Vector and Axial-vector Vacuum Susceptibilities
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Cited by in corpus (2)

• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field