Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2018
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917703535558656 |
|---|---|
| author | Duminil-Copin, Hugo Goswami, Subhajit Raoufi, Aran |
| author_facet | Duminil-Copin, Hugo Goswami, Subhajit Raoufi, Aran |
| contents | The truncated two-point function of the ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($β>β_c$ and $h=0$). Together with the previously known results, this implies that the exponential clustering property holds throughout the model's phase diagram except for the critical point: $(β,h) = (β_c,0)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_00439 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature Duminil-Copin, Hugo Goswami, Subhajit Raoufi, Aran Probability Mathematical Physics 60K35, 82B20 The truncated two-point function of the ferromagnetic Ising model on $\mathbb Z^d$ ($d\ge3$) in its pure phases is proven to decay exponentially fast throughout the ordered regime ($β>β_c$ and $h=0$). Together with the previously known results, this implies that the exponential clustering property holds throughout the model's phase diagram except for the critical point: $(β,h) = (β_c,0)$. |
| title | Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature |
| topic | Probability Mathematical Physics 60K35, 82B20 |
| url | https://arxiv.org/abs/1808.00439 |