Low energy density correlation function of the degenerate unitary Fermi gas from epsilon expansion

TL;DR

This paper uses epsilon expansion to calculate the low energy density correlation function of a degenerate unitary Fermi gas, providing insights into its dynamic structure at infinite scattering length.

Contribution

It introduces a next-to-leading order calculation of the density correlation function using epsilon expansion for the unitary Fermi gas.

Findings

Derived an expression for the low energy dynamic structure function.

Calculated the density correlation function at next-to-leading order.

Provided theoretical insights into the excitation spectrum of the Fermi gas.

Abstract

Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculate density correlation function of the degenerate Fermi gas at infinite scattering length to next-to-leading order in $\epsilon$ for excitation energies below quasi particle threshold. An expression for the low energy dynamic structure function is derived.