Random Current Representation for Transverse Field Ising Models
| dc.creator | Crawford, Nicholas | |
| dc.creator | Ioffe, Dmitry | |
| dc.date | 2008-12-28 | |
| dc.date | 2009-02-09 | |
| dc.date.accessioned | 2026-07-07T12:38:50Z | |
| dc.date.available | 2026-07-07T12:38:50Z | |
| dc.description | Recently, a random current representation for transverse field Ising models has been introduced in \cite{ILN}. This representation is a space-time version of the classical random current representation exploited by Aizenman et. al. %It is a space-time version of the classical random current representation \cite{Ai82, ABF, AF}. In this paper we formulate and prove corresponding space-time versions of the classical switching lemma and show how they generate various correlation inequalities. In particular we prove exponential decay of truncated two-point functions at positive magnetic fields in $\sfz$-direction and address the issue of the sharpness of phase transition. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0812.4834 | |
| dc.identifier | http://arxiv.org/abs/0812.4834 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218901 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Probability | |
| dc.subject | 46N55 | |
| dc.title | Random Current Representation for Transverse Field Ising Models | |
| dc.type | text |