Mass Spectrum and Bounds on the Couplings in Yukawa Models With Mirror-Fermions

Abstract

The $\mathrm{SU}(2{)}_{\mathrm{L}}\otimes \mathrm{SU}(2{)}_{\mathrm{R}}$ symmetric Yukawa model with mirror-fermions in the limit where the mirror-fermion is decoupled is studied both analytically and numerically. The bare scalar self-coupling $\lambda$ is fixed at zero and infinity. The phase structure is explored and the relevant phase transition is found to be consistent with a second order one. The fermionic mass spectrum close to that transition is discussed and a first non-perturbative estimate of the influence of fermions on the upper and lower bounds on the renormalized scalar self-coupling is given. Numerical results are confronted with perturbative predictions.

Comments: 7 (Latex) pages