On Noncommutative Solitons

TL;DR

This paper explores classical noncommutative scalar field theory in 2+1 dimensions, presenting exact radially symmetric solutions, discussing their physical implications, and analyzing finite noncommutativity effects through numerical methods.

Contribution

It provides new exact solutions for noncommutative scalar fields and discusses their physical relevance, including finite noncommutativity effects.

Findings

Exact radially symmetric solutions derived

Physical interpretation of solutions discussed

Numerical analysis of finite noncommutativity effects included

Abstract

We consider 2+1-dimensional classical noncommutative scalar field theory. The general ansatz for a radially symmetric solution is obtained. Some exact solutions are presented. Their possible physical meaning is discussed. The case of the finite $\theta$ is discussed qualitatively and illustrated by some numerical results.