Definition on unrestricted smooth configurations

The retarded response of a functional $F$ to a vertex $V$ has the classical sign $-F^{\prime }{G}^{\mathrm{R}}{V}^{\prime }$. Since ${\delta }_{\gamma }{V}_{1,g}=-S$ and the insertion (eq:B) has a minus sign, its one-graviton component is

Thus $\mathcal{T}$ and the contribution to the actual bare relational coefficient have opposite signs. The physical coupling degree of (eq:physicalsign) is ${\kappa }^2$.