The radial part of the zero-mode Hamiltonian for sigma models with group target space

TL;DR

This paper derives a potential form for the radial component of the zero-mode Hamiltonian in two-dimensional sigma models with group target spaces, using geometric methods.

Contribution

It introduces a geometric approach to determine the radial part of the zero-mode Hamiltonian for sigma models with compact Lie group targets.

Findings

Proposes a specific form for the radial zero-mode Hamiltonian.

Applicable to sigma models with target spaces like S^3 and other compact Lie groups.

Provides a foundation for further analysis of sigma model dynamics.

Abstract

We use geometric arguments to derive a possible form for the radial part of the ``zero-mode Hamiltonian'' for the two dimensional sigma model with target space S^3, or more generally a compact simply connected Lie group.