# 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.

## Key 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.