Author:
Gubinelli Massimiliano,Hofmanová Martina,Rana Nimit
Abstract
AbstractWe 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 $$\exp (\alpha \phi )_2$$
exp
(
α
ϕ
)
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.
Funder
DFG Research Unit FOR 2402
Publisher
Springer Science and Business Media LLC
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