Strong-weak coupling duality in non-abelian gauge theories
| dc.creator | Ferrari, Frank | |
| dc.date | 1997-05-12 | |
| dc.date | 1997-05-20 | |
| dc.date.accessioned | 2026-07-07T09:08:17Z | |
| dc.date.available | 2026-07-07T09:08:17Z | |
| dc.description | This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II and III, I focus mainly on N=2 supersymmetric theories. I present the lagrangians and explain in more or less detail the non-renormalization theorems, rigid special geometry, supersymmetric instanton calculus, charge fractionization, the semiclassical theory of monopoles, duality in Maxwell theory and the famous Seiberg-Witten solution. I discuss various physical applications, as electric charge confinement, chiral symmetry breaking or non-trivial superconformal theories in four dimensions. In Section II.3 new material is presented, related to the computation of the eta invariant of certain Dirac operators coupled minimally to non-trivial monopole field configurations. I explain how these invariants can be obtained exactly by a one-loop calculation in a suitable N=2 supersymmetric gauge theory. This is an unexpected application of the holomorphy properties of N=2 supersymmetry, and constitutes a tremendous simplification of the usual computation. An expanded version of these new results will be published soon. | |
| dc.description | 97 pages, introductory part of a PhD thesis, in french; the very last sentence erased | |
| dc.identifier | https://arxiv.org/abs/hep-th/9705071 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9705071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150669 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Strong-weak coupling duality in non-abelian gauge theories | |
| dc.type | text |