English

Creation and evolution of magnetic helicity

High Energy Physics - Theory 2009-10-31 v2 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed from the group element U - onto a fixed (electromagnetic) direction in isospace gives rise to a nontrivial magnetic field, with nonvanishing magnetic helicity, which coincides with the winding number of U. Although the helicity is not conserved under Maxwell (vacuum) evolution, it retains one-half its initial value at infinite time.

Keywords

Cite

@article{arxiv.hep-th/9911072,
  title  = {Creation and evolution of magnetic helicity},
  author = {R. Jackiw and So-Young Pi},
  journal= {arXiv preprint arXiv:hep-th/9911072},
  year   = {2009}
}

Comments

Clarifying remarks and references added; 12 pages, 1 figure using BoxedEPSF, REVTeX macros; submitted to Phys Rev D; email to jackiw@ralph2.mit.edu

R2 v1 2026-07-22T16:18:09.545Z