Effective Field Theory and Finite Density Systems

Abstract

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and then the varied frontiers of EFT for finite nuclei and nuclear matter are surveyed.

27 pages, 5 figures

References in corpus (21)

• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Introduction to Effective Field Theory
• Coupled-cluster theory for three-body Hamiltonians
• Epsilon expansion for a Fermi gas at infinite scattering length
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Chiral perturbation theory
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Matrix Elements and Few-Body Calculations within the Unitary Correlation Operator Method
• No-core shell model in an effective-field-theory framework
• Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory
• Four-nucleon force using the method of unitary transformation
• Convergence of the Born Series with Low-Momentum Interactions
• Next-to-next-to-leading-order epsilon expansion for a Fermi gas at infinite scattering length
• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• Effective Field Theory for Dilute Fermions with Pairing
• Long- and short-range correlations in the ab-initio no-core shell model
• Universality in a 2-component Fermi System at Finite Temperature
• Scales in nuclear matter: Chiral dynamics with pion nucleon form factors

Cited by in corpus (23)

• Modern Theory of Nuclear Forces
• On the appearance of hyperons in neutron stars
• Chiral dynamics of few- and many-nucleon systems
• Counting Rules of Nambu-Goldstone Modes
• Non-perturbative methods for a chiral effective field theory of finite density nuclear systems
• Time-odd mean fields in covariant density functional theory I. Non-rotating systems
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Density Matrix Expansion for Low-Momentum Interactions
• Ab Initio Derivation of Model Energy Density Functionals
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Pauli blocking effects and Cooper triples in three-component Fermi gases
• Nuclear Reactions from Lattice QCD
• Chiral Effective Field Theory for Nuclear Matter with long- and short-range Multi-Nucleon Interactions
• Continuity equation and local gauge invariance for the N3LO nuclear Energy Density Functionals
• Proton-proton fusion in lattice effective field theory
• Approximate self-energy for Fermi systems with large s-wave scattering length: a step towards density functional theory
• Finite-range effects in dilute Fermi gases at unitarity
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Nuclei and chiral dynamics
• Local energy density functional for superfluid Fermi gases from effective field theory
• Nuclear effective field theory on the lattice