Conformal Field Theory Techniques for Large N Group Theory
| dc.creator | Douglas, Michael R. | |
| dc.date | 1993-03-30 | |
| dc.date.accessioned | 2026-07-07T04:19:21Z | |
| dc.date.available | 2026-07-07T04:19:21Z | |
| dc.description | We show how to use quantum mechanics on the group manifold U(N) as a tool for problems in U(N) representation theory. The quantum mechanics reduces to free fermions on the circle, which in the large N limit become relativistic. The theory can be bosonized giving the Das-Jevicki-Sakita collective field theory. The formalism is particularly suited to problems involving tensor product multiplicity (Littlewood-Richardson) coefficients. As examples, we discuss the partition function of two-dimensional Yang-Mills theory on the sphere, and the zero magnetic field limit of D-dimensional Eguchi-Kawai Yang-Mills theory. We give the leading O(N^0) solution of the latter theory, using a method which allows computing corrections. Largely (but not completely) superseded by hep-th/9311130. | |
| dc.description | RU-93-13, NSF-ITP-93-39, 13 pp | |
| dc.identifier | https://arxiv.org/abs/hep-th/9303159 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9303159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53514 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Conformal Field Theory Techniques for Large N Group Theory | |
| dc.type | text |