Interacting noncommutative solitons (vacua)

TL;DR

This paper investigates the dynamics of two interacting noncommutative solitons in a gauge model, reducing their complex equations to a well-studied two-dimensional mechanical system known for stochastic behavior.

Contribution

It introduces a reduction of noncommutative soliton interactions to a classical mechanical system, revealing stochastic dynamics in this context.

Findings

Equations of motion are reducible to a 2D mechanical system.

The reduced system exhibits stochastic behavior.

Provides insights into soliton interactions in noncommutative gauge theories.

Abstract

We consider the dynamics of two interacting lumps/solitons in a noncommutative gauge model. We show that equations of motion describing this dynamics can be reduced to ones of a two-dimensional mechanical system which is well studied and was shown to exhibit stochastic behaviour.