Nonperturbative renormalization group approach to Lifshitz critical behaviour

TL;DR

This paper introduces a nonperturbative renormalization group method to study Lifshitz critical behavior in vector models, overcoming perturbative limitations and enabling accurate calculations in three dimensions.

Contribution

It develops a systematically improvable nonperturbative RG approach for Lifshitz critical points, avoiding perturbative technical difficulties and improving reliability of physical predictions.

Findings

Provides a reliable method for analyzing Lifshitz critical behavior in 3D.

Overcomes perturbative approach limitations by being systematically improvable.

Enables control over convergence of approximations.

Abstract

The behaviour of a d-dimensional vectorial N=3 model at a m-axial Lifshitz critical point is investigated by means of a nonperturbative renormalization group approach that is free of the huge technical difficulties that plague the perturbative approaches and limit their computations to the lowest orders. In particular being systematically improvable, our approach allows us to control the convergence of successive approximations and thus to get reliable physical quantities in d=3.