Due to its construction, the nonperturbative renormalization group (RG) evolution of constant, field-independent term (which is constant with respect field variations but depends on RG scale $k$) requires special care within Functional Renormalization Group (FRG) approach. In several instances, potential has no physical meaning. However, there are cases where it receives important applications....

A bstract We study gauge theories of background fields associated to BRST quantized spinning particle models and identify background-independent algebraic structures which allow systematically reduce the spectrum subject some them dynamical equations motion. More specifically, we construct a manifestly extension model based on N = 2 particle. The resulting system describes an on-shell spin-1 fi...