Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces

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dc.creatorKihara, Hironobu
dc.date2008-10-27
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:51:20Z
dc.date.available2026-07-07T12:51:20Z
dc.descriptionIn higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of scalar field. Monopole charges are computed as integrals over spheres and they are related to mapping class degree. Hedge-Hog solutions are investigated in these models. Every differential equation for these solutions is Abel's differential equation. A condition for existence of finite energy solution is shown. Spaces of 1-jets of these equations are defined as sets of zeros of polynomials. Those spaces can be interpreted as singular quartic surfaces in three-dimensional complex projective space.
dc.description19 pages, 2 figures, 1 table
dc.identifierhttps://arxiv.org/abs/0810.4750
dc.identifierhttp://arxiv.org/abs/0810.4750
dc.identifierPhys.Rev.D79:045021,2009
dc.identifierdoi:10.1103/PhysRevD.79.045021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222957
dc.subjectHigh Energy Physics - Theory
dc.titleFinite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces
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