A Symmetric Approach to the Massive Nonlinear Sigma Model

TL;DR

This paper extends divergence subtraction techniques to the massive nonlinear sigma model with SU(2) x SU(2) symmetry, successfully constructing a perturbative expansion that depends on symmetry breaking, mass, and radiative parameters.

Contribution

It introduces a method for divergence subtraction in the massive case of the nonlinear sigma model, expanding previous massless approaches to include mass and symmetry breaking effects.

Findings

Perturbative expansion in loops is successfully constructed.

The theory depends on parameters v, m, and Λ.

The approach extends previous massless model techniques.

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.