# Consistent partial bosonization of the extended Hubbard model

## TL;DR

This paper introduces a balanced partial bosonization method within dynamical mean-field theory to better capture collective electronic fluctuations in strongly correlated systems, avoiding Fierz ambiguity and improving effective interaction descriptions.

## Contribution

The authors develop a consistent partial bosonization approach that simultaneously accounts for multiple bosonic channels, enhancing the modeling of collective fluctuations in correlated fermionic systems.

## Key findings

- Improved description of effective screened interaction W in charge and spin channels.
- Avoidance of Fierz ambiguity in bosonization.
- Potential application to realistic GW-like calculations for magnetic materials.

## Abstract

We design an efficient and balanced approach that captures major effects of collective electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic expansion on a basis of dynamical mean-field theory. For this aim we perform a partial bosonization of collective fermionic fluctuations in leading channels of instability. We show that a simultaneous account for different bosonic channels can be done in a consistent way that allows to avoid the famous Fierz ambiguity problem. The present method significantly improves a description of an effective screened interaction $W$ in both, charge and spin channels, and has a great potential for application to realistic $GW$-like calculations for magnetic materials.