English

Instantons in non-Cartesian coordinates

High Energy Physics - Theory 2009-10-31 v1

Abstract

The explicit multi-instanton solutions by 'tHooft and Jackiw, Nohl & Rebbi are generalized to curvilinear coordinates. The idea is that a gauge transformation can notably simplify the expressions obtained after the change of variables. The gauge transform generates a compensating addition to the gauge potential of pseudoparticles. Singularities of the compensating field are irrelevant for physics but may affect gauge dependent quantities.

Keywords

Cite

@article{arxiv.hep-th/0009114,
  title  = {Instantons in non-Cartesian coordinates},
  author = {A. A. Abrikosov},
  journal= {arXiv preprint arXiv:hep-th/0009114},
  year   = {2009}
}

Comments

10 pages, LaTeX, talk given at Quarks-2000 (Pushkin, Russia) and E.S.Fradkin (Moscow, Russia) conferences