The large-N expansion of unitary-matrix models
| dc.creator | Rossi, Paolo | |
| dc.creator | Campostrini, Massimo | |
| dc.creator | Vicari, Ettore | |
| dc.date | 1996-08-30 | |
| dc.date.accessioned | 2026-07-07T06:32:09Z | |
| dc.date.available | 2026-07-07T06:32:09Z | |
| dc.description | The general features of the 1/N expansion in statistical mechanics and quantum field theory are briefly reviewed both from the theoretical and from the phenomenological point of view as an introduction to a more detailed analysis of the large-N properties of spin and gauge models possessing the symmetry group $SU(N) \times SU(N)$. An extensive discussion of the known properties of the single-link integral (equivalent to YM_2 and one-dimensional chiral models) includes finite-$N$ results, the external field solution, properties of the determinant, and the double scaling limit. Two major classes of solvable generalizations are introduced: one-dimensional closed chiral chains and models defined on a $d-1$ dimensional simplex. In both cases large-N solutions are presented with emphasis on their double scaling properties. The available techniques and results concerning unitary-matrix models that correspond to asymptotically free quantum field theories (two-dimensional chiral models and four-dimensional QCD) are discussed, including strong-coupling methods, reduced formulations, and the Monte Carlo approach. | |
| dc.description | 81 pages. Style elsart.sty. To be published in Physics Reports | |
| dc.identifier | https://arxiv.org/abs/hep-lat/9609003 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/9609003 | |
| dc.identifier | Phys.Rept. 302 (1998) 143-209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98815 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | The large-N expansion of unitary-matrix models | |
| dc.type | text |