Dynamical flavor symmetry breaking by a magnetic field in (2+1)-dimensions
Jul 29, 1994
35 pages
Published in:
- Phys.Rev.D 52 (1995) 4718-4735
e-Print:
- hep-th/9407168 [hep-th]
Report number:
- NSF-ITP-94-74
Citations per year
Abstract:
It is shown that in 2+1 dimensions,a constant magnetic field is a strong catalyst of dynamical flavor symmetry breaking,leading to ge- nerating a fermion dynamical mass even at the weakest attractive interaction between fermions.The essence of this effect 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 established.The relevance of this effect for planar condensed matter systems and for 3+1 dimensional theories at high temperature is pointed out.- gauge field theory: U(1)
- fermion: flavor
- dimension: 3
- magnetic field: high
- symmetry breaking
- mass generation
- Jona-Lasinio-Nambu model
- effective action
- numerical calculations
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