Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in the full subcritical regime
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912732795633664 |
|---|---|
| author | Duch, Paweł Gubinelli, Massimiliano Rinaldi, Paolo |
| author_facet | Duch, Paweł Gubinelli, Massimiliano Rinaldi, Paolo |
| contents | We present a construction of the fractional $Φ^4$ Euclidean quantum field theory on $\mathbb{R}^3$ in the full subcritical regime via parabolic stochastic quantisation. Our approach is based on the use of a truncated flow equation for the effective description of the model at sufficiently small scales and on coercive estimates for the non-linear stochastic partial differential equation describing the interacting field. The measure is invariant under translations, reflection positive and has quartic exponential tails. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_18112 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in the full subcritical regime Duch, Paweł Gubinelli, Massimiliano Rinaldi, Paolo Probability Mathematical Physics Analysis of PDEs 60H17 (Primary) 81T08, 81T17, 35B45, 60H30 (Secondary) We present a construction of the fractional $Φ^4$ Euclidean quantum field theory on $\mathbb{R}^3$ in the full subcritical regime via parabolic stochastic quantisation. Our approach is based on the use of a truncated flow equation for the effective description of the model at sufficiently small scales and on coercive estimates for the non-linear stochastic partial differential equation describing the interacting field. The measure is invariant under translations, reflection positive and has quartic exponential tails. |
| title | Parabolic stochastic quantisation of the fractional $Φ^4_3$ model in the full subcritical regime |
| topic | Probability Mathematical Physics Analysis of PDEs 60H17 (Primary) 81T08, 81T17, 35B45, 60H30 (Secondary) |
| url | https://arxiv.org/abs/2303.18112 |