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

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

1994-05-10

arxiv.org/abs/hep-ph/9405262v2

Phys.Rev.Lett. 73 (1994) 3499-3502; Erratum-ibid. 76 (1996) 1005

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX. The final version (with minor corrections) which appeared in Phys.Rev.Lett. 73 (1994) 3499

Scientific paper

10.1103/PhysRevLett.76.1005

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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