English

Noncommutative scalar solitons: existence and nonexistence

High Energy Physics - Theory 2010-11-19 v2 Mathematical Physics math.MP

Abstract

We study the variational equations for solitons in noncommutative scalar field theories in an even number of spatial dimensions. We prove the existence of spherically symmetric solutions for a sufficiently large noncommutativity parameter θ\theta and we prove the absence of spherically symmetric solutions for small θ\theta.

Keywords

Cite

@article{arxiv.hep-th/0011139,
  title  = {Noncommutative scalar solitons: existence and nonexistence},
  author = {B. Durhuus and T. Jonsson and R. Nest},
  journal= {arXiv preprint arXiv:hep-th/0011139},
  year   = {2010}
}

Comments

11 pages, 1 figure, reference added, minor corrections

R2 v1 2026-07-22T15:01:01.931Z