Diagrammatic theory of the irreducible coupled-cluster self-energy

2023/09/19 by Christopher J. N. Coveney, David P. Tew, Coveney, Christopher J. N. +1 · 2 citations
Physics and Astronomy · Chemistry · #Quantum, superfluid, helium dynamics #Advanced Physical and Chemical Molecular Interactions

paper · pdf · doi:10.48550/arxiv.2309.10451

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), GW-BSE, and CC theory for ground state and excitation energies. This clarifies the origin of previously established connections between RPA, GW-BSE, and CC theory, and it exposes the relationship between vertex corrections and the coupled-cluster amplitude equations.

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