The \(\Phi_3^4\) measure via Girsanov's theorem

DOI10.1214/21-EJP635zbMath1469.81040arXiv2004.01513MaRDI QIDQ2042799

Nikolay Barashkov, Massimiliano Gubinelli

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01513

zbMATH Keywords

paracontrolled calculusBou é-Dupuis formulacontructive Euclidean quantum field theory

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Constructive quantum field theory (81T08) Paracontrolled distributions and alternative approaches (60L40)

Related Items (6)

The two-dimensional continuum random field Ising model ⋮ Maximum and coupling of the sine-Gordon field ⋮ Random tensors, propagation of randomness, and nonlinear dispersive equations ⋮ Phase transitions for \(\phi^4_3\) ⋮ Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ The Gaussian structure of the singular stochastic Burgers equation

Cites Work

• Renormalization group and stochastic PDEs
• A theory of regularity structures
• On the stochastic quantization of field theory
• Ultraviolet stability in Euclidean scalar field theories
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• Paracontrolled distributions and the 3-dimensional stochastic quantization equation
• A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory
• The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. I.
• A variational method for \(\Phi^4_3\)
• Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Fourier Analysis and Nonlinear Partial Differential Equations
• <scp>Space‐Time</scp> Localisation for the Dynamic Model
• Exact smoothing properties of Schrodinger semigroups
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