Effective field theories on solitons of generic shapes

TL;DR

This paper develops a general framework for effective field theories on solitons of arbitrary shapes, exemplified by solitons in the O(4) non-linear sigma model with higher derivatives.

Contribution

It introduces a novel method to construct effective theories on solitons of any shape, extending previous approaches to more complex geometries.

Findings

Successful formulation of effective theories on generic-shaped solitons.

Application to O(4) sigma model demonstrates the approach.

Potential for broad applicability to various soliton configurations.

Abstract

A class of effective field theories for moduli or collective coordinates on solitons of generic shapes is constructed. As an illustration, we consider effective field theories living on solitons in the O(4) non-linear sigma model with higher-derivative terms.