Four-fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential

Abstract

We investigate an influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. By using the Fock-Schwinger proper-time method, we calculate the effective potential for the four-fermion interaction model at the leading order of the $1/N_c$ expansion. A phase structure of the chiral symmetry breaking is shown on $T$-$\mu$, $H$-$T$ and $\mu$-$H$ planes. The external magnetic field modifies the phase structure. It is found that a new phase appears for a large chemical potential.

16 pages, 10 figures

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• Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• Dynamical symmetry breaking in the external gravitational and constant magnetic fields
• Axion Decay in a Constant Electromagnetic Background Field and at Finite Temperature using World-line Methods

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