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:
Report number:
  • NSF-ITP-94-74

Citations per year

19942002201020182024051015
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