Solving some gauge systems at infinite N
| dc.creator | Wosiek, J. | |
| dc.date | 2006-10-15 | |
| dc.date | 2006-11-19 | |
| dc.date.accessioned | 2026-07-07T11:28:01Z | |
| dc.date.available | 2026-07-07T11:28:01Z | |
| dc.description | After summarizing briefly some numerical results for four-dimensional supersymmetric SU(2) Yang-Mills quantum mechanics, we review a recent study of systems with an infinite number of colours. We study in detail a particular supersymmetric matrix model which exhibits a phase transition, strong-weak duality, and a rich structure of supersymmetric vacua. In the planar and strong coupling limits, this field theoretical system is equivalent to a one-dimensional XXZ Heisenberg chain and, at the same time, to a gas of $q$-bosons. This not only reveals a hidden supersymmetry in these well-studied models; it also maps the intricate pattern of our supersymmetic vacua into that of the now-popular ground states of the XXZ chain. | |
| dc.description | 23 pages, 7 figures; lecture given at the XLVI Cracow School of Theoretical Physics; some typos and references corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610172 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610172 | |
| dc.identifier | ActaPhys.Polon.B37:3635-3658,2006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196309 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Solving some gauge systems at infinite N | |
| dc.type | text |