Renormalization group flow equations with full momentum dependence

TL;DR

This paper introduces a truncation method for the exact renormalization group equations that captures the full momentum dependence of n-point functions, with applications to critical models, Bose-Einstein condensation, and finite temperature field theory.

Contribution

It presents a novel truncation scheme enabling the calculation of full momentum dependence in renormalization group flow equations.

Findings

Successfully applied to critical O(N) models

Extended to Bose-Einstein condensation scenarios

Adapted for finite temperature field theory

Abstract

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point functions. Applications are then briefly presented, to critical O(N) models, to Bose-Einstein condensation and to finite temperature field theory.