The Renormalization Group in Nuclear Physics
arXiv:1203.1779 · doi:10.1016/j.nuclphysbps.2012.06.005
Abstract
Modern techniques of the renormalization group (RG) combined with effective field theory (EFT) methods are revolutionizing nuclear many-body physics. In these lectures we will explore the motivation for RG in low-energy nuclear systems and its implementation in systems ranging from the deuteron to neutron stars, both formally and in practice. Flow equation approaches applied to Hamiltonians both in free space and in the medium will be emphasized. This is a conceptually simple technique to transform interactions to more perturbative and universal forms. An unavoidable complication for nuclear systems from both the EFT and flow equation perspective is the need to treat many-body forces and operators, so we will consider these aspects in some detail. We'll finish with a survey of current developments and open problems in nuclear RG.
37 pages; 49th Schladming Theoretical Physics Winter School lecture notes; to appear in Nucl. Phys. B Proc. Suppl. (2012)
References in corpus (26)
- Improved nuclear matter calculations from chiral low-momentum interactions
- Similarity Renormalization Group for Nucleon-Nucleon Interactions
- Constraints on neutron star radii based on chiral effective field theory interactions
- Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
- In-Medium Similarity Renormalization Group for Nuclei
- Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
- Medium-mass nuclei from chiral nucleon-nucleon interactions
- Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
- Low-momentum interactions with smooth cutoffs
- Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
- Momentum space evolution of chiral three-nucleon forces
- Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
- Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics
- Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
- Operator Evolution via the Similarity Renormalization Group I: The Deuteron
- Convergence of the Born Series with Low-Momentum Interactions
- Block Diagonalization using SRG Flow Equations
- The Unitary Correlation Operator Method from a Similarity Renormalization Group Perspective
- Are low-energy nuclear observables sensitive to high-energy phase shifts?
- Decoupling in the Similarity Renormalization Group for Nucleon-Nucleon Forces
- Similarity Renormalization Group Evolution of Many-Body Forces in a One-Dimensional Model
- The impact of bound states on similarity renormalization group transformations
- Weinberg Eigenvalues and Pairing with Low-Momentum Potentials
- Three-Body Forces Produced by a Similarity Renormalization Group Transformation in a Simple Model
- Decoupling of Spurious Deep Bound States with the Similarity Renormalization Group
- Local Projections of Low-Momentum Potentials
Cited by in corpus (24)
- The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
- New applications of renormalization group methods in nuclear physics
- Nuclear thermodynamics from chiral low-momentum interactions
- P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
- Towards grounding nuclear physics in QCD
- From bound states to the continuum
- High-momentum tails from low-momentum effective theories
- Natural orbitals for many-body expansion methods
- Scale dependence of deuteron electrodisintegration
- Ab Initio study of neutron drops with chiral Hamiltonians
- Challenges in Nuclear Structure Theory
- C properties with evolved chiral three-nucleon interactions
- Renormalization in Winter Model
- Incorporating Brueckner-Hartree-Fock correlations in the Density Matrix Expansion approach
- Universality in Similarity Renormalization Group Evolved Potential Matrix Elements and T-Matrix Equivalence
- Alternative similarity renormalization group generators in nuclear structure calculations
- Modeling Neutron Star Matter in the Age of Multimessenger Astrophysics
- Modelling overlap functions for one-nucleon removal: role of the effective three-nucleon force
- Implicit and explicit renormalization: two complementary views of effective interactions
- Navier-Stokes Hamiltonian for the Similarity Renormalization Group
- Renormalization group evolution of optical potentials: explorations using a toy model
- Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
- Fixed points of the SRG evolution and the on-shell limit of the nuclear force
- On-shell transition of SRG and nuclear systems