The Geometry of Gauge-Particle Field Interaction: A Generalization of Utiyama's Theorem
Mathematics and Natural Sciences
The paper classifies the locally gauge invariant Lagrangians on the jet bundle J1 (E Θ C), for interacting particle and gauge fields. This serves to clarify the global nature of the Utiyama extension process (Yang-Mills trick) for arbitrary principal bundles P and gives the classical (local) results when P is trivial: P = M × G. The emphasis of the paper is a formulation of the results in terms of geometric objects on associated bundles over M rather than on bundles over P.
Journal of Geometry and Physics
(1989). The Geometry of Gauge-Particle Field Interaction: A Generalization of Utiyama's Theorem. Journal of Geometry and Physics, 6(1), 107-125.
Available at: https://aquila.usm.edu/fac_pubs/20709