Dilaton in a cold Fermi gas

TL;DR

This paper discusses a theoretical phase of a two-dimensional cold Fermi gas that exhibits approximate scale symmetry, leading to the emergence of a dilaton and unique thermodynamic properties near criticality.

Contribution

It introduces the concept of a dilaton in a cold Fermi gas with spontaneously broken approximate scale symmetry, analyzed through large N expansion.

Findings

Presence of a dilaton mode near criticality

Anomalously small pressure and large compressibility

Emergence of approximate scale symmetry in the phase

Abstract

These are the notes for a lecture which I presented at the International Conference on New Frontiers in Physics in Kolymbari, Crete in July, 2018. They review an idea which posits a phase of a two-dimensional system of cold N-component Fermions which exhibits spontaneously broken approximate scale symmetry when studied in the large N expansion. Near criticality, the phase exhibits anomalously small pressure and large compressibility. Some of the consequences of the approximate scale symmetry, such as the existence of a dilaton and its properties are discussed.