Power counting for nuclear forces in chiral effective field theory

Abstract

The present note summarizes the discourse on power counting issues of chiral nuclear forces, with an emphasis on renormalization-group invariance. Given its introductory nature, I will lean toward narrating a coherent point of view on the concepts, rather than covering comprehensively the development of chiral nuclear forces in different approaches.

To appear in the special issue of the International Journal of Modern Physics E on "Effective Field Theory in Nuclear Physics", published version, added references

References in corpus (8)

• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Short-range nuclear forces in singlet channels
• Renormalization of Singular Potentials and Power Counting
• Power Counting of Contact-Range Currents in Effective Field Theory
• Renormalization Group Analysis of Boundary Conditions in Potential Scattering

Cited by in corpus (8)

• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• The Two-Nucleon 1S0 Amplitude Zero in Chiral Effective Field Theory
• Can chiral EFT give us satisfaction?
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• From the liquid drop model to lattice QCD
• Renormalization of pionless effective field theory in the A-body sector
• Cutoff effects in Hartree-Fock calculations at leading order of chiral effective field theory