We review several recent results on 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 non-local lattice operators to achieve a simpler spin channel decomposition, 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 non-local interactions. In the final part we further explore the link between the nuclear forces and nuclear structure. We consider the simplest possible nuclear interaction which can accurately reproduce the ground state energies of neutron matter, light nuclei, and medium-mass nuclei. We discuss what these recent developments say about the emergence of nuclear structure from nuclear forces and the road ahead for nuclear lattice simulations.

我们回顾了核晶格有效场理论协作在晶格模拟上的一些最新结果。在第一部分中，我们使用手性有效场理论讨论了核力在晶格上的实现。与以前只考虑局部相互作用的研究相比，我们强调的新发展是使用非局部晶格算子来实现更简单的自旋通道分解。在第二部分中，我们提供了核物理学接近量子相变的证据。这一发展也与对局部和非局部相互作用之间差异的研究有关。在最后一部分中，我们进一步探讨了核力量与核结构之间的联系。我们认为最简单的核相互作用可以精确地重现中子物质，轻核和中质核的基态能量。我们讨论了这些最新发展对核力量出现核结构以及核格模拟的未来之路的看法。