Speaker
Description
The functional renormalization group (fRG) is already established as a powerful tool to study many-electron systems. Furthermore, the single-boson-exchange (SBE) decomposition of two-particle vertices, which consists in a bosonization in all channels, has proven to be a particularly efficient parametrization of fermionic problems, both within parquet- and fRG-based approaches. We discuss here the formulation of the fRG based on the SBE decomposition, coined as SBE fRG, and its application to the two-dimensional Hubbard model. We stress particularly how and why the SBE formalism allows us to reach an efficient description of the problem at reasonable numerical costs. An important outlook of such a study is the inclusion of multiloop corrections, that we will briefly discuss as well.
