First-principles analytic predictions for strongly coupled Fermi liquids
Phys. Rev. A 113, 053324 – Published 27 May, 2026
DOI: https://doi.org/10.1103/1t87-xvvp
Abstract
This paper makes analytic predictions for systems of strongly coupled fermionic gases above the critical temperature by exploiting the spacetime symmetry constraints. It is known that when the coupling reaches the unitarity limit, where the scattering length diverges, such systems behave as non-Fermi liquids, the mysterious state of matter that is thought to be a precursor for atypical quantum effects such as high- superconductivity. In this paper we will be studying such systems approaching unitarity, but still at strong coupling, and, using anomaly matching, will make first-principles predictions for the compressibility and magnetic susceptibility in terms of the scattering length , the atomic mass , and , the dimensionless contact parameter. Comparing our predictions to simulations, agreement is found to be within the theoretical errors. We explain how experimental verification of our predictions would be evidence of the existence of a gapped dilaton in the spectrum.
