The Phase diagram of the O(4) Higgs fermion lattice model in the mean field approximation

Feb 4, 1991
7 pages
Published in:
  • Phys.Lett.B 261 (1991) 109-115
  • Published: 1991
Report number:
  • OUTP-90-47-P

Citations per year

199119972003200920143210
Abstract: (Elsevier)
The phase diagram of the SU(2) L Θ SU(2) R = O(4) scalar-fermion lattice theory with local Yukawa interaction and D species of staggered fermions is studied in the mean field approximation. Equations for the second order phase transition lines are obtained in the expansion that has leading order in 1 d . Two different phase structures are possible depending on the value of D . For D = 2 there are four phases: FM, AM and two different PM phases. For D ⪖4 the fifth, ferrimagnetic (FI) phase appears in the region of intermediate Yukawa coupling. This phase diagram agrees with a Monte Carlo computation for D = 8.
  • Higgs model
  • symmetry: O(4)
  • lattice field theory
  • fermion: determinant
  • coupling: Yukawa
  • Yukawa: coupling
  • mean field approximation
  • critical phenomena
  • expansion 1/d
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