Excited Platonic Sphalerons in the Presence of a Dilaton Field
نویسندگان
چکیده
We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs theory coupled to a dilaton. These platonic sphalerons are related to rational maps of degree N . We demonstrate that, in the presence of a dilaton, for a given rational map excited platonic sphalerons exist beside the fundamental platonic sphalerons. We focus on platonic sphaleron solutions with N = 4, which possess cubic symmetry, and construct the two branches of their first excitations. The energy density of these excited platonic sphalerons exhibits a cube within a cube.
منابع مشابه
Platonic Sphalerons in the Presence of a Dilaton Field
We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs theory coupled to a dilaton. Related to rational maps of degree N , these platonic sphalerons can be assigned a Chern-Simons number Q = N/2. We present sphaleron solutions with degree N = 1−4, possessing spherical, axial, tetrahedral and cubic symmetry. For all these sphalerons two branches of solutions exist, which b...
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