Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany.
Phys Rev Lett. 2013 Jul 19;111(3):032501. doi: 10.1103/PhysRevLett.111.032501. Epub 2013 Jul 18.
We present the first quantum Monte Carlo (QMC) calculations with chiral effective field theory (EFT) interactions. To achieve this, we remove all sources of nonlocality, which hamper the inclusion in QMC calculations, in nuclear forces to next-to-next-to-leading order. We perform auxiliary-field diffusion Monte Carlo (AFDMC) calculations for the neutron matter energy up to saturation density based on local leading-order, next-to-leading order, and next-to-next-to-leading order nucleon-nucleon interactions. Our results exhibit a systematic order-by-order convergence in chiral EFT and provide nonperturbative benchmarks with theoretical uncertainties. For the softer interactions, perturbative calculations are in excellent agreement with the AFDMC results. This work paves the way for QMC calculations with systematic chiral EFT interactions for nuclei and nuclear matter, for testing the perturbativeness of different orders, and allows for matching to lattice QCD results by varying the pion mass.
我们提出了首次使用手征有效场论（EFT）相互作用的量子蒙特卡罗（QMC）计算。为此，我们去除了核力中阻碍 QMC 计算的所有非局部性来源，达到次近邻次主导阶。我们基于局部主导阶、次主导阶和次近邻次主导阶的核子-核子相互作用，进行了最高至饱和密度的中子物质能量的辅助场扩散蒙特卡罗（AFDMC）计算。我们的结果在手征 EFT 中表现出系统的逐阶收敛，并提供了具有理论不确定性的非微扰基准。对于较软的相互作用，微扰计算与 AFDMC 结果非常吻合。这项工作为使用系统的手征 EFT 相互作用进行原子核和核物质的 QMC 计算铺平了道路，可用于测试不同阶的微扰性，并允许通过改变π介子质量与格子 QCD 结果相匹配。
