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

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arxiv hep-ph/0312005 v3 pith:W6EY345N submitted 2003-11-29 hep-ph

classification hep-ph
keywords potentialchemicalfieldfour-fermioninteractionmagneticmodelphase
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Functional renormalization group study of anomalous magnetic moment in a low energy effective theory

    hep-ph 2025-06 conditional novelty 6.0 of 10

    In a magnetized two-flavor effective theory, quark anomalous magnetic moments are dynamically generated with chiral symmetry breaking, with the down quark moment roughly four times the up quark.

  2. Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

    nucl-th 2019-07 unverdicted novelty 4.0 of 10

    In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.

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