手征有效场论相互作用的量子Monte Carlo计算
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
摘要：
本文采用手征有效场论（EFT）相互作用进行了第一量子蒙特卡罗（QMC）计算。为了实现这一点，我们删除了所有的非定域性，这妨碍了列入QMC计算，在核力到下一个下一个领先的顺序。我们执行的中子物质的能量饱和密度的基础上的本地领先的顺序，下一个领先的顺序，和下一个到下一个到领先的顺序核子核子相互作用的双场扩散蒙特卡罗（AFDMC）计算。我们的研究结果表现出系统的顺序的手征EFT的顺序收敛，并提供非微扰基准与理论的不确定性。对于较软的相互作用，微扰计算与AFDMC的结果非常吻合。这项工作铺平了道路QMC计算与系统的手征EFT相互作用的核和核物质，测试不同的订单的微扰，并允许匹配的格点量子色动力学的结果，通过改变π介子质量。
英文摘要：
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.
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