The Potts-q random matrix model : loop equations, critical exponents, and rational case
| dc.creator | Eynard, B. | |
| dc.creator | Bonnet, G. | |
| dc.date | 1999-06-17 | |
| dc.date.accessioned | 2026-07-07T10:34:25Z | |
| dc.date.available | 2026-07-07T10:34:25Z | |
| dc.description | In this article, we study the q-state Potts random matrix models extended to branched polymers, by the equations of motion method. We obtain a set of loop equations valid for any arbitrary value of q. We show that, for q=2-2 \cos {l \over r} π(l, r mutually prime integers with l < r), the resolvent satisfies an algebraic equation of degree 2 r -1 if l+r is odd and r-1 if l+r is even. This generalizes the presently-known cases of q=1, 2, 3. We then derive for any 0 \leq q \leq 4 the Potts-q critical exponents and string susceptibility. | |
| dc.description | 7 pages, submitted to Phys. Letters B | |
| dc.identifier | https://arxiv.org/abs/hep-th/9906130 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9906130 | |
| dc.identifier | Phys.Lett.B463:273-279,1999 | |
| dc.identifier | doi:10.1016/S0370-2693(99)00925-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/179468 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Potts-q random matrix model : loop equations, critical exponents, and rational case | |
| dc.type | text |