Current forms and gauge invariance

Abstract

Let C be the bundle of connections of a principal G-bundle π: P → M,and let V be the vector bundle associated with P by a linear representation G → GL(V ) on a finite-dimensional vector space V . The Lagrangians on J 1(C ×M V) whose current form is gauge invariant, are described and the gauge-invariant Lagrangians on J 1(V) are classified.