2003/10/31 by Burkhard Kleihaus, B. Kleihaus, Jutta Kunz +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Black Holes and Theoretical Physics #Quantum chaos and dynamical systems #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2003.12.036
published as Phys.Lett. B582 (2004) 187-195 · 10 pages, including 2 figures, LaTex format
arxiv created 2003/10/31 · openalex publication_date 2004/01/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
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.