Knots, Feynman Diagrams and Matrix Models
| dc.creator | Grothaus, Martin | |
| dc.creator | Streit, Ludwig | |
| dc.creator | Volovich, Igor V. | |
| dc.date | 1999-08-03 | |
| dc.date.accessioned | 2026-07-07T05:30:11Z | |
| dc.date.available | 2026-07-07T05:30:11Z | |
| dc.description | An U(N)-invariant matrix model with d matrix variables is studied. It was shown that in the limit $N\to \infty $ and $d\to 0$ the model describes the knot diagrams. We realize the free partition function of the matrix model as the generalized expectation of a Hida distribution $Φ_{N,d}$. This enables us to give a mathematically rigorous meaning to the partition function with interaction. For the generalized function $Φ_{N,d}$ we prove a Wick theorem and we derive explicit formulas for the propagators. | |
| dc.description | 31 pages, 6 Postscript figures | |
| dc.identifier | https://arxiv.org/abs/math/9908013 | |
| dc.identifier | http://arxiv.org/abs/math/9908013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78912 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Knots, Feynman Diagrams and Matrix Models | |
| dc.type | text |