# The generating functional of correlation functions as a high momentum limit of a Wilson action

## TL;DR

This paper explores how a Wilson action simplifies to the generating functional of correlation functions at high momenta, extending the understanding of its behavior at fixed points and large momentum limits.

## Contribution

It clarifies the relationship between Wilson actions and generating functionals in the high momentum regime at fixed points.

## Key findings

- Wilson action reduces to the generating functional at high momenta
- The behavior at fixed points is elaborated
- Provides insight into the high momentum limit of Wilson actions

## Abstract

It is well known that a Wilson action reduces to the generating functional of connected correlation functions as we take the momentum cutoff to zero. For a fixed point Wilson action, this implies that for momenta large compared with the cutoff, the action reduces to the generating functional. We elaborate on this simple observation.