On the Perturbative Expansion around a Lifshitz Point

TL;DR

This paper introduces a perturbative framework for the quantum Lifshitz model, leveraging its supersymmetric structure to simplify calculations at a quantum critical point, despite its non-Lorentz invariant nature.

Contribution

It presents a novel perturbative approach that exploits supersymmetry to streamline analysis of the Lifshitz point in quantum critical systems.

Findings

Supersymmetry simplifies Feynman rules in the model

Framework facilitates perturbative calculations at the Lifshitz point

Enhances understanding of non-Lorentz invariant quantum criticality

Abstract

The quantum Lifshitz model provides an effective description of a quantum critical point. It has been shown that even though non--Lorentz invariant, the action admits a natural supersymmetrization. In this note we introduce a perturbative framework and show how the supersymmetric structure can be used to greatly simplify the Feynman rules and thus the study of the model.