Wilson lines in the lattice Higgs model at strong coupling
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917793993064448 |
|---|---|
| author | Forsström, Malin P. Lenells, Jonatan Viklund, Fredrik |
| author_facet | Forsström, Malin P. Lenells, Jonatan Viklund, Fredrik |
| contents | We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error estimates. Our analysis is based on a high-temperature representation of the lattice Higgs measure combined with Poisson approximation. We also give a short proof of the folklore result that Wilson line (and loop) expectations exhibit perimeter law decay whenever the Higgs field coupling constant is positive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03424 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Wilson lines in the lattice Higgs model at strong coupling Forsström, Malin P. Lenells, Jonatan Viklund, Fredrik Probability 70S15, 81T13, 81T25, 82B20 We consider the 4D fixed length lattice Higgs model with Wilson action for the gauge field and structure group $\mathbb{Z}_n$. We study Wilson line observables in the strong coupling regime and compute their asymptotic behavior with error estimates. Our analysis is based on a high-temperature representation of the lattice Higgs measure combined with Poisson approximation. We also give a short proof of the folklore result that Wilson line (and loop) expectations exhibit perimeter law decay whenever the Higgs field coupling constant is positive. |
| title | Wilson lines in the lattice Higgs model at strong coupling |
| topic | Probability 70S15, 81T13, 81T25, 82B20 |
| url | https://arxiv.org/abs/2211.03424 |