On the 1/D expansion for directed polymers
| dc.creator | Parisi, Giorgio | |
| dc.creator | Slanina, Frantisek | |
| dc.date | 1997-12-17 | |
| dc.date.accessioned | 2026-07-07T03:09:40Z | |
| dc.date.available | 2026-07-07T03:09:40Z | |
| dc.description | We present a variational approach for directed polymers in $D$ transversal dimensions which is used to compute the corrections to the mean field theory predictions with broken replica symmetry. The trial function is taken to be a symmetrized version of the mean-field solution, which is known to be exact for $D=\infty$. We compute the free energy corresponding to that function and show that the finite-$D$ corrections behave like $D^{-4/3}$. It means that the expansion in powers of 1/D should be used with great care here. We hope that the techniques developed in this note will be useful also in the study of spin glasses. | |
| dc.description | Latex, 16 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9712208 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9712208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27974 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | On the 1/D expansion for directed polymers | |
| dc.type | text |