A Symmetric Approach to the Massive Nonlinear Sigma Model

Abstract

In the present paper we extend to the massive case the procedure of divergences subtraction, previously introduced for the massless nonlinear sigma model (D=4). Perturbative expansion in the number of loops is successfully constructed. The resulting theory depends on the Spontaneous Symmetry Breaking parameter v, on the mass m and on the radiative correction parameter \Lambda. Fermions are not considered in the present work. SU(2) X SU(2) is the group used.