Abstract
We propose a method of analytical investigation for a lattice regularized U(1) L⊗U(1) R Yukawa model in the phase with unbroken symmetry. The main idea is to develop an expansion in powers of the Yukawa couplings, after having integrated out the bosonic degrees of freedom. We find that the series predicts the existence of a FM phase and two PM states and correctly describes the dependence of the position of the critical points on the values of the Yukawa couplings. The boson and fermion masses are also calculated.
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