Lectures on instantons
| dc.creator | Vandoren, Stefan | |
| dc.creator | van Nieuwenhuizen, Peter | |
| dc.date | 2008-02-13 | |
| dc.date.accessioned | 2026-07-07T09:20:31Z | |
| dc.date.available | 2026-07-07T09:20:31Z | |
| dc.description | This is a self-contained set of lecture notes on instantons in (super) Yang-Mills theory in four dimensions and in quantum mechanics. First the basics are derived from scratch: the regular and singular one-instanton solutions for Yang-Mills theories with gauge groups SU(2) and SU(N), their bosonic and fermionic zero modes, the path integral instanton measure, and supersymmetric Yang-Mills theories in Euclidean space. Then we discuss applications: the θ-angle of QCD, the solution of the U(1) problem, the way Higgs fields solve the large-instanton problem, and tunneling and phase transitions in quantum mechanics and in nonabelian gauge theories. These lecture notes are an extension of a review on Yang-Mills and D-instantons written in 2000 by both authors and A.Belitsky | |
| dc.description | 118 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/0802.1862 | |
| dc.identifier | http://arxiv.org/abs/0802.1862 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154746 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Lectures on instantons | |
| dc.type | text |