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 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.
Original language | English (US) |
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Pages (from-to) | 4718-4735 |
Number of pages | 18 |
Journal | Physical Review D |
Volume | 52 |
Issue number | 8 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)