One-Loop Quadratic Divergences of the Dual Non-Linear Sigma Model in Four-Dimensional Spacetime

TL;DR

This paper investigates the one-loop quadratic divergences in the dual non-linear sigma model in four-dimensional spacetime, using the covariant background field method, with a focus on the SU(2) example.

Contribution

It provides a detailed analysis of quadratic divergences in the dual non-linear sigma model at one-loop level, applying covariant techniques to a general case and the SU(2) example.

Findings

Identifies the structure of quadratic divergences in the dual model.

Demonstrates the application of covariant background field method.

Provides explicit results for the SU(2) case.

Abstract

Following a review of the dual description of the non-linear sigma model we investigate the one-loop quadratic divergences. We use the covariant background field method for the general case and apply the results to the important example of $SU(2)$.