Elliptic stochastic quantization

DOI10.1214/19-AOP1404zbMath1446.60041arXiv1812.04422MaRDI QIDQ782400

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

Publication date: 27 July 2020

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04422

zbMATH Keywords

dimensional reductionsupersymmetrystochastic quantizationWiener spaceEuclidean quantum field theoryelliptic stochastic partial differential equations

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Supersymmetry and quantum mechanics (81Q60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (11)

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Random spanning forests and hyperbolic symmetry ⋮ A microlocal approach to renormalization in stochastic PDEs ⋮ 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 ⋮ On the parabolic and hyperbolic Liouville equations ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs ⋮ A note on supersymmetry and stochastic differential equations

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