Absence of Replica Symmetry Breaking in Finite Fifth Moment Random Field Ising Model
Abstract
This work is concerned with the theory of the Random Field Ising Model on the hypercubic lattice, in the presence of a independent disorder with finite fifth moment. We showed the absence of replica symmetry in any dimensions, at any temperature and field strength, almost surely.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.07003
- arXiv:
- arXiv:1811.07003
- Bibcode:
- 2018arXiv181107003R
- Keywords:
-
- Mathematical Physics;
- Condensed Matter - Statistical Mechanics;
- Mathematics - Probability;
- 82B20;
- 82B44;
- 60K35
- E-Print:
- 19 pages