2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56894It is shown that the definition of physical integration measures via ``exponential of minus the action times kinematical integration measure'' typically contradicts properties of physical models. In particular, theories with uncountably many non-vanishing Wilson-loop expectation values cannot be gained this way. The results are rigorous within the Ashtekar approach to gauge field theories.4 pages, LaTeXMathematical PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory81T13; 81T27, 28C20, 58D20Breakdown of the Action Method in Gauge Theoriestext