# Finite-dimensional Feynman Diagrams

## 3. m-point functions

For any choice of m (not necessarily different) indices i1, ... , im between 1 and d, define the m-point function as follows:

The m-point functions are a step towards the ultimate aim of our calculation. They enter at this moment because they can be calculated by repeated differentiation of Zb

For example, note that

So the 1-point function <vi> is given by

Similarly the m-point function is given by