Eft for DFT

Abstract

These lectures give an overview of the ongoing application of effective field theory (EFT) and renormalization group (RG) concepts and methods to density functional theory (DFT), with special emphasis on the nuclear many-body problem.

57 pages, to appear in the proceedings of the ECT* school on "Renormalization Group and Effective Field Theory Approaches to Many-Body Systems", Springer Lecture Notes in Physics; acknowledgment added

References in corpus (22)

• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Is nuclear matter perturbative with low-momentum interactions?
• Vanishing bulk viscosities and conformal invariance of unitary Fermi gas
• Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation
• Intrinsic-Density Functionals
• What is Renormalization?
• Convergence of the Born Series with Low-Momentum Interactions
• Density-functional theory for fermions in the unitary regime
• Low Momentum Nucleon-Nucleon Interactions and Shell-Model Calculations
• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Density Matrix Expansion for Low-Momentum Interactions
• The Kinetic Energy Density in Kohn-Sham Density Functional Theory
• Density Functional Theory: Methods and Problems
• Density functional theory for fermions close to the unitary regime
• Effective Field Theory for Dilute Fermions with Pairing
• Variational Calculations of Nuclei with Low-Momentum Potentials
• Single-Particle Properties from Kohn-Sham Green's Functions
• Variational Calculations using Low-Momentum Potentials with Smooth Cutoffs
• Density-functional theory for the pairing Hamiltonian

Cited by in corpus (16)

• Modern Theory of Nuclear Forces
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Toward ab initio density functional theory for nuclei
• Ab Initio Derivation of Model Energy Density Functionals
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Do we know how to count powers in pionless and pionful effective field theory?
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Microscopic derivation of density functional theory for superfluid systems based on effective action formalism
• Global analysis of Skyrme forces with higher-order density dependence
• Density Functional Theory with Spatial-Symmetry Breaking and Configuration Mixing
• 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
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods