# Non Relativistic Limit of Integrable QFT with fermionic excitations

## TL;DR

This paper explores the non-relativistic limit of integrable quantum field theories with fermionic fields, extending previous work on bosonic models to include fermionic excitations and analyzing the resulting non-relativistic models.

## Contribution

It provides a comprehensive analysis of the non-relativistic limit for fermionic integrable QFTs, completing the understanding of these limits beyond purely bosonic theories.

## Key findings

- Derived the non-relativistic limit for fermionic integrable models
- Extended the mapping of non-relativistic limits to include fermionic theories
- Connected the results with previous bosonic models

## Abstract

The aim of this paper is to investigate the non-relativistic limit of integrable quantum field theories with fermionic fields, such as the O(N) Gross-Neveu model, the supersymmetric Sinh-Gordon and non-linear sigma models. The non-relativistic limit of these theories is implemented by a double scaling limit which consists of sending the speed of light c to infinity and rescaling at the same time the relevant coupling constant of the model in such a way to have finite energy excitations. For the general purpose of mapping the space of continuous non-relativistic integrable models, this paper completes and integrates the analysis done in Ref.[1] on the non-relativistic limit of purely bosonic theories.