Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations

Abstract

The introduction of chiral effective field theory by Steven Weinberg three decades ago has had a profound and lasting impact on nuclear physics. This brief review explores the impact of Weinberg's work on the field of nuclear lattice simulations. Rather than a summary of technical details, an effort is made to present the conceptual advances that made much of the recent progress possible.

12 pages, 2 figures, invited contribution to the special issue in Few-Body Systems "Celebrating 30 years of Steven Weinberg's papers on Nuclear Forces from Chiral Lagrangians"

References in corpus (16)

• Structure and rotations of the Hoyle state
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Spectral convexity for attractive SU(2N) fermions
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Hidden spin-isospin exchange symmetry
• Breaking and restoration of rotational symmetry on the lattice for bound state multiplets
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C
• Galilean invariance restoration on the lattice
• Structure Factors of Neutron Matter at Finite Temperature
• Effective interactions between nuclear clusters
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Sampling General N-Body Interactions with Auxiliary Fields
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices