Perturbation theory including topological degrees of freedom: Yang-Mills theory in three Euclidean dimensions

dc.creatorHarikumar, E.
dc.creatorMitra, Indrajit
dc.creatorSharatchandra, H. S.
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:15:09Z
dc.date.available2026-07-07T04:15:09Z
dc.descriptionA method for systematically including topological degrees of freedom in perturbation theory is developed. This is not bound by the restrictions of semi-classical techniques. The Yang-Mills theory in three Euclidean dimensions is considered here. A well-defined separation of the topological and the ``spin wave'' degrees of freedom is obtained, motivated by a singular gauge. This has ``photons'' distorting the spherically symmetric magnetic fields of Dirac monopoles, and massless charged vector bosons ``W'' scattering off the latter. It is explicitly shown that the Dirac string does not contribute. The mode of the charged vector bosons with total angular momentum J=0 provides precisely the core to give a finite energy to the monopole. The radial equation for W is remarkably simplified and only two polarization states survive exactly for the anomalous magnetic moment required by the Yang-Mills interaction.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0304140
dc.identifierhttp://arxiv.org/abs/hep-th/0304140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51895
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titlePerturbation theory including topological degrees of freedom: Yang-Mills theory in three Euclidean dimensions
dc.typetext

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