A restricted non-tadpole inventory

This is the scheme-qualified inventory of X-G XG (:inventory). It constructs neither nonlocal retarded operation. Additional finite quantum normalization terms fall outside its hypotheses.

In this convention a background-dependent metric one-point response needs two vertices; inserting it through an order-$\kappa$ metric slot first reaches the scalar observable at order ${\kappa }^3$. Changing normal ordering can add tadpole normalizations and changes that ledger. No one-point expectation value in an unspecified state is meant.