Self-consistent Green's function approaches

Abstract

We present the fundamental techniques and working equations of many-body Green's function theory for calculating ground state properties and the spectral strength. Green's function methods closely relate to other polynomial scaling approaches discussed in chapters 8 and 10. However, here we aim directly at a global view of the many-fermion structure. We derive the working equations for calculating many-body propagators, using both the Algebraic Diagrammatic Construction technique and the self-consistent formalism at finite temperature. Their implementation is discussed, as well as the inclusion of three-nucleon interactions. The self-consistency feature is essential to guarantee thermodynamic consistency. The pairing and neutron matter models introduced in previous chapters are solved and compared with the other methods in this book.

58 pages, 14 figures, Submitted to Lect. Notes Phys., "An advanced course in computational nuclear physics: Bridging the scales from quarks to neutron stars", M. Hjorth-Jensen, M. P. Lombardo, U. van Kolck, Editors

References in corpus (6)

• Quasiparticle and quasihole states of nuclei around 56Ni
• Neutron matter at finite temperature
• Single particle spectra based of modern effective interactions
• Diagrammatic calculation of thermodynamical quantities in nuclear matter
• Computational Nuclear Physics and Post Hartree-Fock Methods
• Self-consistent Green's functions with three-body forces

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• Optical potentials for the rare-isotope beam era
• DUNE atmospheric neutrinos: Earth Tomography
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• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
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• Electromagnetic properties of ${}^{21}$O for benchmarking nuclear Hamiltonians
• Demonstration of the Rodeo Algorithm on a Quantum Computer
• Neutral Current Neutrino-Nucleus Scattering. Theory
• Unleashing the Power of EFT in Neutrino-Nucleus Scattering
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation
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• Diagrammatic Monte Carlo for Finite Systems at Zero Temperature