Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2305.12017 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913312532332544 |
|---|---|
| author | Gubinelli, Massimiliano Hofmanová, Martina Rana, Nimit |
| author_facet | Gubinelli, Massimiliano Hofmanová, Martina Rana, Nimit |
| contents | We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we consider the elliptic stochastic quantization of the Høegh--Krohn (or $\exp (αϕ)_2$) EQFT in two dimensions. The first method is based on a path-wise coupling argument and PDE apriori estimates while the second on estimates of the Malliavin derivative of the solution to the SQ equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_12017 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions Gubinelli, Massimiliano Hofmanová, Martina Rana, Nimit Mathematical Physics Operator Algebras Probability 60H17 (Primary) 60H07, 81T07 (Secondary) We present two approaches to establish the exponential decay of correlation functions of Euclidean quantum field theories (EQFTs) via stochastic quantization (SQ). In particular we consider the elliptic stochastic quantization of the Høegh--Krohn (or $\exp (αϕ)_2$) EQFT in two dimensions. The first method is based on a path-wise coupling argument and PDE apriori estimates while the second on estimates of the Malliavin derivative of the solution to the SQ equation. |
| title | Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions |
| topic | Mathematical Physics Operator Algebras Probability 60H17 (Primary) 60H07, 81T07 (Secondary) |
| url | https://arxiv.org/abs/2305.12017 |