Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions

Gubinelli M, Hofmanová M, Rana N (2024)
Stochastics and Partial Differential Equations : Analysis and Computations .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Gubinelli, Massimiliano; Hofmanová, MartinaUniBi; Rana, NimitUniBi
Abstract / Bemerkung
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 H & oslash;egh-Krohn (or exp ( alpha phi ) 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\exp (\alpha \phi )_2$$\end{document} ) 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.
Stichworte
Stochastic quantization; H & oslash; egh-Krohn model; Decay of; correlations; Euclidean quantum field theory
Erscheinungsjahr
2024
Zeitschriftentitel
Stochastics and Partial Differential Equations : Analysis and Computations
ISSN
2194-0401
eISSN
2194-041X
Page URI
https://pub.uni-bielefeld.de/record/2990003

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Gubinelli M, Hofmanová M, Rana N. Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations . 2024.
Gubinelli, M., Hofmanová, M., & Rana, N. (2024). Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations . https://doi.org/10.1007/s40072-024-00328-x
Gubinelli, Massimiliano, Hofmanová, Martina, and Rana, Nimit. 2024. “Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions”. Stochastics and Partial Differential Equations : Analysis and Computations .
Gubinelli, M., Hofmanová, M., and Rana, N. (2024). Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations .
Gubinelli, M., Hofmanová, M., & Rana, N., 2024. Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations .
M. Gubinelli, M. Hofmanová, and N. Rana, “Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions”, Stochastics and Partial Differential Equations : Analysis and Computations , 2024.
Gubinelli, M., Hofmanová, M., Rana, N.: Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions. Stochastics and Partial Differential Equations : Analysis and Computations . (2024).
Gubinelli, Massimiliano, Hofmanová, Martina, and Rana, Nimit. “Decay of correlations in stochastic quantization: the exponential Euclidean field in two dimensions”. Stochastics and Partial Differential Equations : Analysis and Computations (2024).
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2025-03-14T08:12:05Z
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