On the Huang-Yang formula for the low-density Fermi gas in 3D

Seminar: 
Analysis
Event time: 
Thursday, February 6, 2025 - 4:00pm
Location: 
Zoom
Speaker: 
Emanuela Giacomelli
Speaker affiliation: 
LMU Munchen
Event description: 

https://yale.zoom.us/j/95303636613

In 1957, Huang and Yang predicted an asymptotic formula for the ground state energy of a dilute Fermi gas in the thermodynamic limit. This formula highlights a remarkable universality, showing that the correlation energy depends solely on the interaction's scattering length. In this talk, I will present a rigorous proof of the Huang-Yang prediction, employing a bosonization approach that interprets suitable pairs of fermions as bosons.