Partially embedding of the quantum mechanical analog of the nonlinear sigma model

TL;DR

This paper adapts the BFFT formalism to partially embed the quantum mechanical nonlinear sigma model into a gauge theory, addressing previous embedding difficulties.

Contribution

It introduces a modified BFFT approach that enables partial embedding of the quantum nonlinear sigma model into a gauge theory.

Findings

Successful partial embedding using adapted BFFT method

Addresses previous embedding difficulties

Provides a framework for gauge theory construction

Abstract

We consider the quantum mechanical analog of the nonlinear sigma model. There are difficulties to completely embed this theory by directly using the Batalin, Fradkin, Fradkina, and Tyutin (BFFT) formalism. We show in this paper how the BFFT method can be conveniently adapted in order to achieve a gauge theory that partially embeds the model.