Diagrammatic theory of the irreducible coupled-cluster self-energy
Year: 2025
Type: article
Abstract: Coupled-cluster and Green's function theories are highly successful in treating many-body electron correlation, and there has been significant interest in identifying and leveraging connections between them. Here we present a diagrammatic definition of the irreducible coupled-cluster self-energy that directly embeds coupled-cluster (CC) theory within the framework of many-body field theory. The equation-of-motion coupled-cluster (EOM-CC) treatment emerges naturally from our definition via the Dyson equation and the Bethe-Salpeter equation (BSE), providing a unified description of the random phase approximation (RPA), G W -BSE, and CC theory for ground state and excitation energies. This clarifies the origin of previously established connections between RPA, G W -BSE, and CC theory, and it exposes the relationship between vertex corrections and the coupled-cluster amplitude equations.
DOI: 10.1103/p41w-bl6p
Authors: Christopher J. N. Coveney, David P. Tew
Institution: University of Oxford
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4411209474