English

Semiclassical solution for Yang-Mills field with given energy

High Energy Physics - Theory 2009-10-29 v2

Abstract

A new classical solution for the Yang-Mills theory in which the Euclidean energy plays a role of a parameter is discussed. The instanton and sphaleron are shown to be particular examples of this more general solution. The energy parameter for them takes on special values, which are zero and sphaleron mass for the instanton and sphaleron, respectively. The solution is employed to describe the tunneling process, which is accompanied by a variation of the topological charge. A range of temperatures, where the new solution makes this tunneling more effective than the known mechanisms based on the instanton, caloron or sphaleron is found.

Keywords

Cite

@article{arxiv.0903.2079,
  title  = {Semiclassical solution for Yang-Mills field with given energy},
  author = {Michael Kuchiev},
  journal= {arXiv preprint arXiv:0903.2079},
  year   = {2009}
}

Comments

12 pages, 6 figures

R2 v1 2026-06-21T12:39:40.267Z