Topological Charge of U(1) Instantons

dc.creatorKazuyuki, Furuuchi
dc.date2000-10-02
dc.date.accessioned2026-07-07T11:09:58Z
dc.date.available2026-07-07T11:09:58Z
dc.descriptionNon-singular instantons are shown to exist on noncommutative R^4 even with a U(1) gauge group. Their existence is primarily due to the noncommutativity of the space. The relation between U(1) instantons on noncommutative R^4 and the projection operators acting on the representation space of the noncommutative coordinates is reviewed. The integer number of instantons on the noncommutative R^4 can be understood as the winding number of the U(1) gauge field as well as the dimension of the projection on the representation space.
dc.description49 pages, 7 figures, based on talk given at APCTP-Yonsei Workshop on Noncommutative Field Theories
dc.identifierhttps://arxiv.org/abs/hep-th/0010006
dc.identifierhttp://arxiv.org/abs/hep-th/0010006
dc.identifierProg.Theor.Phys.Suppl.144:79-91,2001
dc.identifierdoi:10.1143/PTPS.144.79
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190650
dc.subjectHigh Energy Physics - Theory
dc.titleTopological Charge of U(1) Instantons
dc.typetext

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