Green's functions techniques for extended nuclear systems

TL;DR

This paper reviews the use of self-consistent Green's functions methods to predict properties of infinite nuclear systems, incorporating recent improvements like three-nucleon forces and extrapolation techniques for realistic equations of state.

Contribution

It presents the first-principles application of Green's functions to infinite nuclear matter, including advancements in modeling interactions and properties.

Findings

Realistic equations of state for symmetric, asymmetric, and neutron matter.

Insights into short-range correlations and nuclear phase transitions.

Dependence of nuclear observables on isospin.

Abstract

I review the application of self-consistent Green's functions methods to study the properties of infinite nuclear systems. Improvements over the last decade, including the consistent treatment of three-nucleon forces and the development of extrapolation methods from finite to zero temperature, have allowed for realistic predictions of the equation of state of infinite symmetric, asymmetric and neutron matter based on chiral interactions. Microscopic properties, like momentum distributions or spectral functions, are also accessible. Using an indicative set of results based on a subset of chiral interactions, I summarise here the first-principles description of infinite nuclear system provided by Green's functions techniques, in the context of several issues of relevance for nuclear theory including, but not limited to, the role of short-range correlations in nuclear systems, nuclear phase transitions and the isospin dependence of nuclear observables.