Exact renormalization group approach in scalar and fermionic theories

TL;DR

This paper reviews the Polchinski exact renormalization group equation and explores its applications and connections to standard renormalization group methods in scalar and fermionic theories.

Contribution

It provides a detailed analysis of the relation between the Polchinski approach and traditional renormalization techniques, including derivative and perturbation expansions.

Findings

Clarifies the relation between the Polchinski RG and standard RG methods

Analyzes the derivative expansion in the context of the exact RG

Discusses applications to scalar and fermionic theories

Abstract

The Polchinski version of the exact renormalization group equation is discussed and its applications in scalar and fermionic theories are reviewed. Relation between this approach and the standard renormalization group is studied, in particular the relation between the derivative expansion and the perturbation theory expansion is worked out in some detail.