Platonic sphalerons
Copyright policy )Platonic sphalerons
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.
10 pages, including 2 figures, LaTex format
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, Weinberg-Salam theory, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, sphalerons, Strong interaction, including quantum chromodynamics
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Phenomenology, Weinberg-Salam theory, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), FOS: Physical sciences, sphalerons, Strong interaction, including quantum chromodynamics
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