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

I.A.Shovkovy; V.A.Miransky; V.P.Gusynin

arxiv: hep-ph/9405262 · v2 · submitted 1994-05-10 · ✦ hep-ph · hep-th

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

V.P.Gusynin , V.A.Miransky , I.A.Shovkovy This is my paper

classification ✦ hep-ph hep-th

keywords dynamicalfieldmagneticmodelbreakingdimensionseffectflavor

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