Replica symmetric spin glass field theory
| dc.creator | Temesvari, T. | |
| dc.date | 2006-12-20 | |
| dc.date.accessioned | 2026-07-07T08:00:49Z | |
| dc.date.available | 2026-07-07T08:00:49Z | |
| dc.description | A new powerful method to test the stability of the replica symmetric spin glass phase is proposed by introducing a replicon generator function g(v). Exact symmetry arguments are used to prove that its extremum is proportional to the inverse spin glass susceptibility. By the idea of independent droplet excitations a scaling form for g(v) can be derived, whereas it can be exactly computed in the mean field Sherrington-Kirkpatrick model. It is shown by a first order perturbative treatment that the replica symmetric phase is unstable down to dimensions d<6, and the mean field scaling function proves to be very robust. Although replica symmetry breaking is escalating for decreasing dimensionality, a mechanism caused by the infrared divergent replicon propagator may destroy the mean field picture at some low enough dimension. | |
| dc.description | 38 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612523 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612523 | |
| dc.identifier | Nuclear Physics B, Volume 772, Issue 3, 18 June 2007, Pages 340-370 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.03.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128767 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Mathematical Physics | |
| dc.title | Replica symmetric spin glass field theory | |
| dc.type | text |