Four-Fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential | Zendy

Tomohiro Inagaki | Zendy; Daiji Kimura | Zendy; Takayuki Murata | Zendy

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

Author(s) -

Tomohiro Inagaki,

Daiji Kimura,

Takayuki Murata

Publication year - 2004

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.111.371

Subject(s) - physics , fermion , condensed matter physics , chiral symmetry breaking , magnetic field , symmetry breaking , symmetry (geometry) , phase (matter) , field (mathematics) , quantum electrodynamics , chiral symmetry , quantum mechanics , geometry , mathematics , pure mathematics , quark

We investigate an influence of an external magnetic field on chiral symmetrybreaking in a four-fermion interaction model at finite temperature and chemicalpotential. By using the Fock-Schwinger proper-time method, we calculate theeffective potential for the four-fermion interaction model at the leading orderof the $1/N_c$ expansion. A phase structure of the chiral symmetry breaking isshown on $T$-$\mu$, $H$-$T$ and $\mu$-$H$ planes. The external magnetic fieldmodifies the phase structure. It is found that a new phase appears for a largechemical potential.Comment: 16 pages, 10 figure

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