Ground state estimations in gauge theory

DOI10.1016/S0007-4497(01)01102-2zbMath1011.58016OpenAlexW1978242607WikidataQ127593032 ScholiaQ127593032MaRDI QIDQ5956295

Paul Malliavin, Ana Bela Cruzeiro, Setsuo Taniguchi

Publication date: 15 July 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(01)01102-2

zbMATH Keywords

gauge theorycompact Riemannian manifoldEuclidean connectionground state estimationsRicci positivity

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

• Lectures on stochastic differential equations and Malliavin calculus
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Non perturbative construction of invariant measure through confinement by curvature
• Renormalized differential geometry on path space: Structural equation, curvature
• A class of anticipative tangent processes on the Wiener space
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