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Minkowski Space Non-Abelian Classical Solutions with Non-Integer Winding Number Change

High Energy Physics - Phenomenology 2010-11-19 v1 High Energy Physics - Theory

Abstract

Working in a spherically symmetric ansatz in Minkowski space we discover new solutions to the classical equations of motion of pure SU(2)SU(2) gauge theory. These solutions represent spherical shells of energy which at early times move inward near the speed of light, excite the region of space around the origin at intermediate times and move outward at late times. The solutions change the winding number in bounded regions centered at the origin by non-integer amounts. They also produce non-integer topological charge in these regions. We show that the previously discovered solutions of Luscher and Schechter also have these properties.

Keywords

Cite

@article{arxiv.hep-ph/9212239,
  title  = {Minkowski Space Non-Abelian Classical Solutions with Non-Integer Winding Number Change},
  author = {Edward Farhi and Valentin V. Khoze and Robert Singleton},
  journal= {arXiv preprint arXiv:hep-ph/9212239},
  year   = {2010}
}

Comments

42 p. Plain TeX, 11 Fig. (included), CTP# 2138

R2 v1 2026-07-22T14:16:17.358Z