Quantum Monte Carlo calculations with chiral effective field theory interactions.
Quantum Monte Carlo calculations with chiral effective field theory interactions.
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DOI：
10.1103/physrevlett.111.032501
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发表时间：
2013-03
影响因子：
8.6
通讯作者：
A. Gezerlis;I. Tews;E. Epelbaum;S. Gandolfi;K. Hebeler;A. Nogga;A. Schwenk
中科院分区：
文献类型：
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作者：
A. Gezerlis;I. Tews;E. Epelbaum;S. Gandolfi;K. Hebeler;A. Nogga;A. Schwenk
我们提出了第一个具有手性有效场论 (EFT) 相互作用的量子蒙特卡罗 (QMC) 计算。为了实现这一目标，我们消除了所有非局域性来源，这些来源妨碍了 QMC 计算、核力中的次到次领先顺序。我们基于局部主序、次主序和次次主序核子-核子相互作用，对达到饱和密度的中子物质能量进行辅助场扩散蒙特卡罗（AFDMC）计算。我们的结果展示了手性 EFT 中系统的逐阶收敛，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 结果非常一致。这项工作为使用原子核和核物质的系统手性 EFT 相互作用进行 QMC 计算铺平了道路，用于测试不同阶的微扰性，并允许通过改变 π 介子质量来匹配晶格 QCD 结果。
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.