Renormalization and resummation in the O(N) model

TL;DR

This paper discusses a method for consistent perturbation theory in the O(N) model using momentum-dependent renormalization schemes, addressing challenges in renormalization during large N expansion at zero and finite temperature.

Contribution

It introduces a framework for momentum-dependent renormalization in the O(N) model to facilitate resummation and renormalization in large N expansion.

Findings

Effective momentum-dependent renormalization schemes are developed.

Consistent perturbation theory is achieved at zero and finite temperature.

Addresses renormalization challenges in large N expansion.

Abstract

In the O(N) model for the large N expansion one needs resummation which makes the renormalization of the model difficult. In the paper it is discussed, how can one perform a consistent perturbation theory at zero as well as at finite temperature with the help of momentum dependent renormalization schemes.