Regularized, continuum Yang-Mills process and Feynman-Kac functional integral

DOI10.1007/BF01213595zbMath0476.58008WikidataQ62561049 ScholiaQ62561049MaRDI QIDQ1160469

Pronob K. Mitter, Manuel Asorey

Publication date: 1981

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Laplace-Beltrami operatorultraviolet regularizationaction of the group of gauge transformations on the space of generic connectionsconstructive definition of the Yang-Mills functional path integral in the continuumdiffussion processes in Hilbert manifoldsFeynman-Kac functional integralnuclear Riemannian structuresvolume cut-off

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Constructive quantum field theory (81T08) Applications of manifolds of mappings to the sciences (58D30) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Diffusion processes and stochastic analysis on manifolds (58J65)

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