Gauge invariant effective actions for relational fields, Kevin Falls (Universidad de la Republica, Montevideo, Uruguay)

I will discuss the construction of effective actions which generate correlation functions of dressed aka relational fields in Yang-Mills theories and gravity. To this end I use a class of BRST invariant gauges which impose that the on-shell correlation functions are those of gauge invariant fields.

In addition to BRST symmetry, the effective actions are gauge and diffeomorphism invariant respectively, with appropriate transformations for the Faddeev-Popov ghosts and Nakanishi-Lautrup fields.