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Catalysis of Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions

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arxiv hep-ph/9405262 v2 pith:OC7WI4VW submitted 1994-05-10 hep-ph hep-th

V.P.Gusynin , V.A.Miransky , I.A.Shovkovy This is my paper · ORCID
classification hep-phhep-th
keywords dynamicalfieldmagneticmodelbreakingdimensionseffectflavor
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abstract

It is shown that in $2+1$ dimensions, a constant magnetic field is a strong catalyst of dynamical flavor symmetry breaking, leading to generating a fermion dynamical mass even at the weakest attractive interaction between fermions. The effect is illustrated in the Nambu-Jona-Lasinio model in a magnetic field. The low-energy effective action in this model is derived and the thermodynamic properties of the model are established. The relevance of this effect for planar condensed matter systems is pointed out.

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Cited by 3 Pith papers

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

  1. Leading-Order QCD Equation of State in Strong Magnetic Fields at Nonzero Baryon Chemical Potential

    hep-lat 2025-08 conditional novelty 6.0 of 10

    Continuum-estimated leading-order EoS coefficients in magnetized strangeness-neutral QCD at nonzero baryon chemical potential show temperature-band crossings in q1 and P2 and a possible sign change of the trace anomal...

  2. The $(2+1)$-dimensional Gross-Neveu-Yukawa model at finite temperature, density, and magnetic field within the Functional Renormalization Group

    hep-ph 2026-08 conditional novelty 4.0 of 10

    In the 2+1-dimensional Gross-Neveu-Yukawa model, magnetic fields cause oscillations and first-order transitions in the chiral phase boundary at high density and shift the tricritical point upward in temperature.

  3. 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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