  Common G$_0$W$_0$ implementations rely on numerical or analytical frequency
integration to determine the G$_0$W$_0$ self-energy, which results in a variety
of practical complications. Recently, we demonstrated an exact connection
between the G$_0$W$_0$ approximation and equation-of-motion (EOM) quantum
chemistry approaches [J. Chem. Phys., 158, 124123 (2023)]. Based on this
connection, we propose a new method to determine G$_0$W$_0$ quasiparticle
energies which completely avoids frequency integration and its associated
problems. To achieve this, we make use of an auxiliary boson (AB) expansion. We
name the new approach AB-G$_0$W$_0$ and demonstrate its practical applicability
in a range of molecular problems.
