Renormalization of pionless effective field theory in the A-body sector

Abstract

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive meaningful estimations of observable. In this paper, a renormalization procedure is designed in connection with many-body approximations applicable to large-A systems and formulated within the frame of many-body perturbation theory. The procedure is shown to generate counterterms that are independent of the targeted A-body sector. As an example, the procedure is applied to the random phase approximation. This work constitutes one step towards the design of a practical EFT for many-body systems.

arXiv comment14 pages, 7 figures, 2 tables. Contribution to the EPJA topical issue: "The tower of effective (field) theories and the emergence of nuclear phenomena"

References in corpus (33)

• Chiral effective field theory and nuclear forces
• A New Expansion for Nucleon-Nucleon Interactions
• Self-consistent Green's function method for nuclei and nuclear matter
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Renormalization of One-Pion Exchange and Power Counting
• Nucleon-Nucleon Scattering from Effective Field Theory
• Towards a Perturbative Theory of Nuclear Forces
• Effective Theory of the Triton
• In-Medium Similarity Renormalization Group for Nuclei
• NNLO Corrections to Nucleon-Nucleon Scattering and Perturbative Pions
• The Four-Boson System with Short-Range Interactions
• Ab Initio Path to Heavy Nuclei
• Nucleon-Deuteron Scattering from an Effective Field Theory
• Power counting with one-pion exchange
• Leading chiral three-nucleon forces along isotope chains in the calcium region
• Effective field theory description of halo nuclei
• Nonperturbative renormalization for 2PI effective action techniques
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Self-consistent Green's functions formalism with three-body interactions
• Effective Field Theory for Dilute Fermi Systems
• Renormalization of Φ-derivable approximations in scalar field theories
• Pairing in low-density Fermi gases
• Bogoliubov Many-Body Perturbation Theory for Open-Shell Nuclei
• Ab initio Bogoliubov coupled cluster theory for open-shell nuclei
• Hartree-Fock Many-Body Perturbation Theory for Nuclear Ground-States
• Chiral dynamics of few- and many-nucleon systems
• Renormalization Effects in a Dilute Bose Gas
• ADG: Automated generation and evaluation of many-body diagrams I. Bogoliubov many-body perturbation theory
• Effective Field Theory for Dilute Fermions with Pairing
• Effective Field Theory for Fermi Systems in a large N expansion
• Power counting for nuclear forces in chiral effective field theory
• From the liquid drop model to lattice QCD

Cited by in corpus (4)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Effective field theory for dilute Fermi systems at fourth order
• Mean-field approximation on steroids: exact description of the deuteron