Abstract
We review several recent results on nuclear lattice simulations by the Nuclear Lattice Effective Field Theory Collaboration. In the first part we discuss the implementation of nuclear forces on the lattice using chiral effective field theory. The new development we highlight is the use of nonlocal lattice operators to achieve a simpler decomposition into spin channels, in contrast with previous studies that considered only local interactions. In the second part we present evidence that nuclear physics is close to a quantum phase transition. This development is also linked to the study of the differences between local and nonlocal interactions. In the final part we further explore the link between the nuclear forces and nuclear structure. We consider the simplest possible nuclear interaction that can accurately reproduce the ground state properties of light nuclei, medium-mass nuclei, and neutron matter. We discuss what these recent developments say about the emergence of nuclear structure from nuclear forces and the road ahead for nuclear lattice simulations.
Highlights
In this article we review several recent advances by the Nuclear Lattice Effective Field Theory Collaboration that combine of chiral effective field theory with lattice methods, an approach that we call nuclear lattice effective field theory
We have reviewed several recent results by the Nuclear Lattice effective field theory (EFT) Collaboration
We presented the improved description of scattering phase shifts in chiral effective field theory up to N3LO
Summary
In this article we review several recent advances by the Nuclear Lattice Effective Field Theory Collaboration that combine of chiral effective field theory with lattice methods, an approach that we call nuclear lattice effective field theory. The new technology that makes this possible is the use of non-local smearing for the operator interactions. These are important for producing interactions that can give accurate reproductions of the empirical nucleon-nucleon phase shifts. In the last part of the review we continue with our first principles investigations of nuclear forces and nuclear structure. This time we discuss a simple nuclear interaction which gives the correct ground state energies of neutron matter, light nuclei, and medium-mass nuclei with no more than a few percent error. We conclude by discussing the connection between nuclear structure and nuclear forces and some possible future directions for nuclear lattice simulations
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