We prove by topological methods methods that in the context of SU(2) gauge theory the integers labelling the homotopy classes of Yang-Mills and Higgs fields are equal for periodic instanton and dyon configurations. A similar statement is true for the group SO(3) and, in the periodic instanton case, whenever a simply connected group is broken down to an abelian subgroup. We briefly discuss how the result goes over to the canonically quantized theory
On the topological equivalence of gauge and Higgs fields in the dyon sectors / Pak, Nk; Percacci, Roberto. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 188:2(1981), pp. 355-372. [10.1016/0550-3213(81)90261-3]
On the topological equivalence of gauge and Higgs fields in the dyon sectors
Percacci, Roberto
1981-01-01
Abstract
We prove by topological methods methods that in the context of SU(2) gauge theory the integers labelling the homotopy classes of Yang-Mills and Higgs fields are equal for periodic instanton and dyon configurations. A similar statement is true for the group SO(3) and, in the periodic instanton case, whenever a simply connected group is broken down to an abelian subgroup. We briefly discuss how the result goes over to the canonically quantized theoryI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
