Langevin dynamic for the 2D Yang-Mills measure

DOI10.1007/s10240-022-00132-0OpenAlexW3035233118WikidataQ114264177 ScholiaQ114264177MaRDI QIDQ2104861

Hao Shen, Ilya Chevyrev, Ajay Chandra, Martin Hairer

Publication date: 8 December 2022

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04987

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Quantum field theory; related classical field theories (81Txx) Parabolic equations and parabolic systems (35Kxx)

Related Items (13)

A stochastic PDE approach to large N problems in quantum field theory: A survey ⋮ Stochastic quantization of Yang–Mills ⋮ A stochastic analysis approach to lattice Yang-Mills at strong coupling ⋮ The Yang-Mills heat flow with random distributional initial data ⋮ 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 ⋮ The wave maps equation and Brownian paths ⋮ A new derivation of the finite \(N\) master loop equation for lattice Yang-Mills ⋮ Directed mean curvature flow in noisy environment ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ Three-dimensional magnetohydrodynamics system forced by space-time white noise ⋮ A geometric approach to the Yang-Mills mass gap ⋮ Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A theory of regularity structures
• A Poincaré lemma for connection forms
• Large deviations for the Yang-Mills measure on a compact surface
• Deforming metrics in the direction of their Ricci tensors
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Periodic nonlinear Schrödinger equation and invariant measures
• The strong Feller property for singular stochastic PDEs
• Discretisations of rough stochastic PDEs
• The dynamic \({\Phi^4_3}\) model comes down from infinity
• Singular SPDEs in domains with boundaries
• Algebraic renormalisation of regularity structures
• The Yang-Mills measure for \(S^ 2\)
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
• The Yang-Mills heat semigroup on three-manifolds with boundary
• Yang-Mills measure on the two-dimensional torus as a random distribution
• A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory
• Stochastic quantization of an abelian gauge theory
• A variational method for \(\Phi^4_3\)
• Fluctuations around a homogenised semilinear random PDE
• Yang-Mills for probabilists
• A rough path perspective on renormalization
• Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
• Discrete and continuous Yang-Mills measure for non-trivial bundles over compact surfaces
• Renormalising SPDEs in regularity structures
• Traces in monoidal categories
• PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Multidimensional Stochastic Processes as Rough Paths
• Metrization of the One-Point Compactification
• On the Yang-Mills heat equation in two and three dimensions.
• Polygons Have Ears
• Gauge theory on compact surfaces
• Yang-Mills measure on compact surfaces
• The Yang-Mills equations over Riemann surfaces
• The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model
• The Yang-Mills heat equation with finite action in three dimensions
• The support of singular stochastic partial differential equations
• <scp>Space‐Time</scp> Localisation for the Dynamic Model
• A Solution Theory for Quasilinear Singular SPDEs
• Lie groups beyond an introduction
• A course on rough paths. With an introduction to regularity structures
• Malliavin calculus and densities for singular stochastic partial differential equations

This page was built for publication: Langevin dynamic for the 2D Yang-Mills measure