A variational method for \(\Phi^4_3\)
From MaRDI portal
Publication:2217901
DOI10.1215/00127094-2020-0029OpenAlexW2932006791MaRDI QIDQ2217901
Nikolay Barashkov, Massimiliano Gubinelli
Publication date: 12 January 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10814
Optimal stochastic control (93E20) Laplace transform (44A10) Constructive quantum field theory (81T08) Renormalization group methods applied to problems in quantum field theory (81T17) Quantum control (81Q93)
Related Items (30)
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity. I: measures ⋮ Precise Laplace asymptotics for singular stochastic PDEs: the case of 2D gPAM ⋮ Maximum and coupling of the sine-Gordon field ⋮ Random tensors, propagation of randomness, and nonlinear dispersive equations ⋮ Gibbs Measure for the Focusing Fractional NLS on the Torus ⋮ Phase transitions for \(\phi^4_3\) ⋮ Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions ⋮ Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ A microlocal approach to renormalization in stochastic PDEs ⋮ Multiscale coupling and the maximum of \(\mathcal{P}(\phi)_2\) models on the torus ⋮ A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation ⋮ Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations ⋮ 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 ⋮ Paracontrolled calculus for quasilinear singular PDEs ⋮ Exact renormalization groups and transportation of measures ⋮ The renormalization group. Abstracts from the workshop held July 17--23, 2022 ⋮ Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system ⋮ 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 ⋮ Log‐Sobolev inequality for the φ24$\varphi ^4_2$ and φ34$\varphi ^4_3$ measures ⋮ Invariant Gibbs dynamics for the dynamical sine-Gordon model ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ The \(\Phi_3^4\) measure via Girsanov's theorem ⋮ Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three ⋮ On the two-dimensional singular stochastic viscous nonlinear wave equations ⋮ Langevin dynamic for the 2D Yang-Mills measure ⋮ Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations ⋮ The Boué-Dupuis formula and the exponential hypercontractivity in the Gaussian space ⋮ The \(\Phi_3^4\) measure has sub-Gaussian tails ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Renormalization group and stochastic PDEs
- Representation formula for the entropy and functional inequalities
- Variational calculation of Laplace transforms via entropy on Wiener space and applications
- A theory of regularity structures
- A variational representation for random functionals on abstract Wiener spaces
- Ultraviolet stability in Euclidean scalar field theories
- A variational representation for certain functionals of Brownian motion
- An introduction to \(\Gamma\)-convergence
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- The dynamic \({\Phi^4_3}\) model comes down from infinity
- Quasilinear SPDEs via rough paths
- Weak universality for a class of 3d stochastic reaction-diffusion models
- Construction of \(\Phi^4_3\) diagrams for pedestrians
- Paracontrolled distributions and the 3-dimensional stochastic quantization equation
- The short distance behavior of \((\Phi^ 4_ 3)\)
- Diffusion equations and geometric inequalities
- Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
- A renormalisation group method. I. Gaussian integration and normed algebras
- A renormalisation group method. II. Approximation by local polynomials
- A renormalisation group method. III. Perturbative analysis
- A renormalisation group method. IV. Stability analysis
- A renormalisation group method. V. A single renormalisation group step
- Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
- Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space
- Controlled Markov processes and viscosity solutions
- Boson fields with the \(:\Phi^ 4:\) interaction in three dimensions
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- The almost sure Skorokhod representation for subsequences in nonmetric spaces
- Gaussian Hilbert Spaces
- Large‐Scale Behavior of Three‐Dimensional Continuous Phase Coexistence Models
- REMARK ON THE INTEGRATION BY PARTS FORMULA FOR THE $\phi_3^4$-QUANTUM FIELD MODEL
- Exact smoothing properties of Schrodinger semigroups
This page was built for publication: A variational method for \(\Phi^4_3\)