English

Instantons on General Noncommutative R^4

High Energy Physics - Theory 2018-01-17 v2

Abstract

We study the U(1) and U(2) instanton solutions of gauge theory on general noncommutative R4\bf{R}^4. In all cases considered we obtain explicit results for the projection operators. In some cases we computed numerically the instanton charge and found that it is an integer, independent of the noncommutative parameters θ1,2\theta_{1,2}.

Keywords

Cite

@article{arxiv.hep-th/0205110,
  title  = {Instantons on General Noncommutative R^4},
  author = {Yu Tian and Chuan-Jie Zhu},
  journal= {arXiv preprint arXiv:hep-th/0205110},
  year   = {2018}
}

Comments

14 pages, LaTeX; deleted some confusing statements in the U(1) 1-instanton case, added refs

R2 v1 2026-07-22T15:10:46.226Z