On the Relation between Wilson Action and CJT Effective Action

TL;DR

This paper derives a theoretical relation between Wilson action and CJT effective action using path-integral methods, clarifying their connection in quantum field theory.

Contribution

It provides a formal derivation of the relation between Wilson action and CJT effective action, expanding understanding of their interplay.

Findings

Derived a formal relation between Wilson action and CJT effective action.

Clarified the theoretical connection using path-integral techniques.

Supports previous suggestions by Periwal with a rigorous derivation.

Abstract

A relation between Wilson action and the Cornwall-Jackiw-Tomboulis effective action, which was recently suggested by Periwal, is here derived using path-integral techniques.