English

Platonic Sphalerons

High Energy Physics - Theory 2009-11-10 v1 High Energy Physics - Phenomenology

Abstract

We construct sphaleron solutions in Weinberg-Salam theory, which possess only discrete symmetries. Related to rational maps of degree N, these sphalerons carry baryon number Q_B=N/2. The energy density of these sphalerons reflects their discrete symmetries. We present an N=3 sphaleron with tetrahedral energy density, an N=4 sphaleron with cubic energy density, and an N=5 sphaleron with octahedral energy density.

Keywords

Cite

@article{arxiv.hep-th/0310300,
  title  = {Platonic Sphalerons},
  author = {B. Kleihaus and J. Kunz and K. Myklevoll},
  journal= {arXiv preprint arXiv:hep-th/0310300},
  year   = {2009}
}

Comments

10 pages, including 2 figures, LaTex format