The elliptic stochastic quantization of some two dimensional Euclidean QFTs

DOI10.1214/20-AIHP1145zbMath1483.60086arXiv1906.11187OpenAlexW2953886892WikidataQ114060528 ScholiaQ114060528MaRDI QIDQ2077368

Francesco C. De Vecchi, Sergio A. Albeverio, Massimiliano Gubinelli

Publication date: 25 February 2022

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11187

zbMATH Keywords

dimensional reductionstochastic quantizationEuclidean quantum field theoryelliptic stochastic partial differential equationsexponential interaction

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Constructive quantum field theory (81T08) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (10)

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Infinite-dimensional stochastic transforms and reproducing kernel Hilbert space ⋮ Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations ⋮ Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22--28, 2022 ⋮ Universality: random matrices, random geometry and SPDEs. Abstracts from the workshop held May 29 -- June 4, 2022 ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime ⋮ A note on supersymmetry and stochastic differential equations

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