Yang-Mills fields and random holonomy along Brownian bridges
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Publication:1394526
DOI10.1214/aop/1048516535zbMath1029.58025OpenAlexW2023373236MaRDI QIDQ1394526
Anton Thalmaier, Marc Arnaudon
Publication date: 2 February 2004
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1048516535
Brownian bridgestochastic parallel transportYang-Mills connectionstochastic calculus of variationrandom holonomy
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items (6)
Stochastic Lévy differential operators and Yang–Mills equations ⋮ Lévy Laplacians, holonomy group and instantons on 4-manifolds ⋮ A probabilistic approach to the Yang-Mills heat equation. ⋮ Applications of Lévy differential operators in the theory of gauge fields ⋮ Lévy Laplacians and instantons on manifolds ⋮ Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields
Cites Work
- Complete lifts of connections and stochastic Jacobi fields
- Stability and isolation phenomena for Yang-Mills fields
- Some estimates of the transition density of a nondegenerate diffusion Markov process
- Stochastic calculus in manifolds. With an appendix by P.A. Meyer
- Characterizing Yang-Mills fields by stochastic parallel transport
- A probabilistic approach to the Yang-Mills heat equation.
- Yang-Mills fields and stochastic parallel transport in small geodesic balls.
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- Off diagonal short time asymptotics for fundamental solution of diffusion equation
- Estimates of derivatives of the heat kernel on a compact Riemannian manifold
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