Phase space analysis of interacting fermions

TL;DR

This paper introduces a phase space analysis method using orthogonal wave packets to efficiently study low-energy properties of interacting fermion systems, demonstrated through a renormalization group calculation on the 1D Hubbard model.

Contribution

It presents a novel wave packet basis approach for analyzing short-range order in fermion systems, enhancing the understanding of low-energy physics.

Findings

Efficient phase space representation of fermion systems.

Application of RG to 1D Hubbard chain.

Improved analysis of short-range order.

Abstract

We propose the use of an orthogonal wave packet basis to analyze the low-energy physics of interacting electron systems with short range order. We give an introduction to wave packets and the related phase space representation of fermion systems, and show that they lend themselves to an efficient description of short range order. We illustrate the approach within an RG calculation for the one-dimensional Hubbard chain.