Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-07-26
Phys.Rev. D52 (1995) 4718-4735
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, LaTeX. The final, extended, version (with no effect on conclusion) which appeared in Phys.Rev. D52 (1995) 4718
Scientific paper
10.1103/PhysRevD.52.4718
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 essence of this effect is that in a magnetic field, in $2+1$ dimensions, the dynamics of fermion pairing is essentially one-dimensional. 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 considered. The relevance of this effect for planar condensed matter systems and for $3+1$ dimensional theories at high temperature is pointed out.
Gusynin Valery P.
Miransky V. A.
Shovkovy Igor A.
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