Constructions de diffusions et de mesures invariantes par le groupe de jauge sur l'espace des connexions

DOI10.1016/0022-1236(80)90068-3zbMath0451.58040OpenAlexW2028560233MaRDI QIDQ1148048

Philip Trauber, Bernard Gaveau

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90068-3

zbMATH Keywords

diffusion in infinite dimensional manifoldsinfinite dimensional Laplacian on the space of connexions which are invariant under gauge transformationsMarkov process associated to a Laplacianquantization of Yang-Mills fields with cut-off in volume and energy

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Invariance and symmetry properties for PDEs on manifolds (58J70) Diffusion processes and stochastic analysis on manifolds (58J65) Partial differential equations on manifolds; differential operators (58J99) Connections (general theory) (53C05) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

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Cites Work

• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Some remarks on the Gribov ambiguity
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