The one pair and its causal requirements

For this subsection the admissible pair has the exact form

The physical vertex is the specialization $L=L_{1,g}[h]$. The general pair is used to describe the scope of the same one-contraction calculation, not to install another physical interaction.

Define

These are polynomial functionals on smooth configurations. The compact function $V^{\prime }=-L\psi$ can be used as a smooth test for each configuration.