Yukawa Coupling Generated Fermion Masses on the Lattice

Mar 9, 1987
5 pages
Published in:
  • Phys.Lett.B 189 (1987) 164-168
  • Published: 1987
Report number:
  • DOE-ER-01545-389

Citations per year

19871995200320112018024681012
Abstract: (Elsevier)
Yukawa couplings are studied on the latice for fermion coupled to scalr fields of a single component λϕ 4 tgheory. quenchd calculation of the physical fermion mass M F are carried out in the broken phase at zero bare fermion mass and for Yukawa coupling ranging between 1 and 2.5. Our results, when combined with recent nonperturbative determinations of the scalar field wave function renormalization Z by Huang, Manousakis and Polonyi, indicate that the ratio M F /< ϕ ren vanishes as one approaches the critical point. This lends support to the idea that Yukawa-coupling-=generated fermion masses cannot become arbitrarily large without, at the same time, the model ceasing to be a valid effective low-energy theory.
  • field theory: scalar
  • FERMION: MASS
  • MASS: FERMION
  • COUPLING: YUKAWA
  • YUKAWA: COUPLING
  • LATTICE FIELD THEORY
  • APPROXIMATION: QUENCHING
  • NUMERICAL CALCULATIONS: MONTE CARLO