Study of the Asymptotic Freedom of 2D Yukawa Models on the Lattice
arXiv:hep-lat/9303010 · doi:10.1016/0370-2693(93)91293-V
Abstract
We investigate on the lattice the Yukawa models in 2 dimensions with Z(2) and U(1) symmetries. These models reduce to the usual and chiral Gross-Neveu models, respectively, when the kinetic and the selfcoupling terms of the scalar field are turned off. The numerical data and mean field arguments suggest that, at least for some range of the scalar field hopping parameter, fermion mass is dynamically generated for arbitrarily weak Yukawa coupling. The models are asymptotically free in this coupling, like the Gross-Neveu models, even when the scalar quartic selfcoupling is strong.
LaTeX, 11 pages (including 4 postscript figures); OUTP-93-01P (HLRZ 93-15)
References in corpus (1)
Cited by in corpus (7)
- Quantum Field Theory in the Large N Limit: a review
- Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
- Quantum and Thermal Fluctuations in Field Theory
- Dynamical fermion mass generation by strong gauge interaction shielded by a scalar field
- Two-dimensional model of dynamical fermion mass generation in strongly coupled gauge theories
- On the equivalence between 2D Yukawa and Gross-Neveu models
- Universality of 2d Yukawa and Gross-Neveu models