2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187309A generalization of classical gauge theory is presented, in the framework of a noncommutative-geometric formalism of quantum principal bundles over smooth manifolds. Quantum counterparts of classical gauge bundles, and classical gauge transformations, are introduced and investigated. A natural differential calculus on quantum gauge bundles is constructed and analyzed. Kinematical and dynamical properties of corresponding gauge theories are discussed.28 pages, AMS-LaTeXQuantum AlgebraHigh Energy Physics - Theorytext