Diagrammatic theory of the irreducible coupled-cluster self-energy
arXiv:2309.10451 · doi:10.1103/p41w-bl6p
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), -BSE, and CC theory for ground state and excitation energies. This clarifies the origin of previously established connections between RPA, -BSE, and CC theory, and it exposes the relationship between vertex corrections and the coupled-cluster amplitude equations.
References in corpus (28)
- The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach
- Self-consistent GW: All-electron implementation with localized basis functions
- Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters
- Particle-particle and quasiparticle random phase approximations: Connections to coupled cluster theory
- Beyond the GW approximation: combining correlation channels
- On The Relation Between Equation-of-Motion Coupled-Cluster Theory and the GW Approximation
- Systematic vertex corrections through iterative solution of Hedin's equations beyond the GW approximation
- Self-consistent solution of Hedin's equations: semiconductors/insulators
- Full-Frequency GW without Frequency
- Connections and performances of Green's function methods for charged and neutral excitations
- Exact relationships between the GW approximation and equation-of-motion coupled-cluster theories through the quasi-boson formalism
- Self-consistency in formalism leading to quasiparticle-quasiparticle couplings
- Approximations for many-body Green's functions: insights from the fundamental equations
- Algebraic diagrammatic construction formalism with three-body interactions
- Full-frequency dynamical Bethe-Salpeter equation without frequency and a study of double excitations
- Random-phase approximation excitation energies from approximate equation-of-motion ring coupled-cluster doubles
- A 'moment-conserving' reformulation of GW theory
- Evaluation of two-particle properties within finite-temperature self-consistent one-particle Green's function methods: theory and application to GW and GF2
- Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
- Full versus quasi-particle self consistency in vertex corrected GW approaches
- Connections between many-body perturbation and coupled-cluster theories
- Hedin's equations and enumeration of Feynman's diagrams
- GW approximations and vertex corrections on the Keldysh time-loop contour: application for model systems at equilibrium
- Efficient excitations and spectra within a perturbative renormalization approach
- A regularized second-order correlation method from Green's function theory
- A route to improving RPA excitation energies through its connection to equation-of-motion coupled cluster theory
- Nonconvergence of the Feynman-Dyson diagrammatic perturbation expansion of propagators
- Constructing `full-frequency' spectra via moment constraints for coupled cluster Green's functions