Une construction de la quantification euclidienne du champ de Yang-Mills régularisé

DOI10.1016/0022-1236(81)90095-1zbMath0479.58021OpenAlexW2055892965MaRDI QIDQ1162038

Bernard Gaveau, Philip Trauber

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90095-1

zbMATH Keywords

diffusions which are invariant under the action of the gauge groupgauge invariant elliptic operatorsquantification of the Yang-Mills field with cut-off in energy and regularization in energy

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of PDEs on manifolds (58J90) Diffusion processes and stochastic analysis on manifolds (58J65) Differential complexes (58J10)

Cites Work

• The Cauchy problem for the Yang-Mills equations
• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Regularized, continuum Yang-Mills process and Feynman-Kac functional integral
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Some remarks on the Gribov ambiguity
• Foundations of Quantum Mechanics
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