Multiloop Quantum Field Theory of the Electron Liquid

The electron liquid in simple metals is a charged Fermi liquid with relatively strong interactions. We show numerical evidence that the Landau quasiparticle picture in such Fermi liquid can be extended to the entire Fermi volume. This observation motivates a UV-complete renormalized field theory of the electron liquid which provides a quasiparticle point of view of the many-electron problem. Solving the field theory with state-of-the-art numerical techniques reveals emergent BCS superconductivity that is beyond the Kohn-Luttinger mechanism. The field theory provides a systematic foundation for designing ab-initio electronic structure methods beyond the GW approximation.