Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field

1992
9 pages
Published in:
  • Theor.Math.Phys. 90 (1992) 1-6,
  • Teor.Mat.Fiz. 90 (1992) 3-11
Report number:
  • IFVE-91-13

Citations per year

19912000200920182025051015
Abstract: (Springer)
The phase structure of the (2+1) Gross-Neveu model at nonzero temperatureT and in an external fieldH is studied in the leading order of the 1/N expansion. It is shown that for any fixed value ofT there exists a critical valueHc of the magnetic field such that whenH>Hc the chiral invariance of the model is spontaneously broken. For fixedH, there exists a critical value of the temperatureTc(H) such that forT>Tc(H) the original symmetry of the model is restored. The phase portrait of the model is constructed in theH-T plane.
  • Gross-Neveu model
  • dimension: 3
  • finite temperature
  • magnetic field: external field
  • critical phenomena
  • effective potential
  • expansion 1/N
  • symmetry: chiral
  • spontaneous symmetry breaking