Crossing Probabilities of Multiple Ising Interfaces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2018
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913321207201792 |
|---|---|
| author | Peltola, Eveliina Wu, Hao |
| author_facet | Peltola, Eveliina Wu, Hao |
| contents | We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(κ) with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_09438 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Crossing Probabilities of Multiple Ising Interfaces Peltola, Eveliina Wu, Hao Mathematical Physics Probability 82B20, 60J67, 60K35 We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary conditions are conformally invariant expressions given by the pure partition functions of multiple SLE(κ) with κ=3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory. |
| title | Crossing Probabilities of Multiple Ising Interfaces |
| topic | Mathematical Physics Probability 82B20, 60J67, 60K35 |
| url | https://arxiv.org/abs/1808.09438 |