Abstract
For a lattice regularized chiral-invariant SU (2) L×SU (2) R fermion-scalar model with a Yukawa coupling y and a Wilson-Yukawa coupling w, we investigate the phase structure and show in particular the existence of the multicritical line, in the strong Yukawa and/or Wilson-Yukawa coupling region, at which four phases meet. The result is in good agreement with the Monte Carlo simulation. This analytical result is derived from the effective scalar model obtained by integrating out the fermion field where the action is explicitly obtained from the hopping parameter expansion up to next-to-leading order. For estimates on the correlation function of the scalar field we apply the mean-field method.
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