Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

Gezerlis, A.; Schwenk, A.; Nogga, A.; Hebeler, K.; Epelbaum, E.; Gandolfi, S.; Tews, I.

doi:10.1103/PhysRevLett.111.032501

Journal Article

FZJ-2013-05400

Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

Gezerlis, A. (Corresponding author) ; Tews, I. ; Epelbaum, E.Extern* ; Gandolfi, S. ; Hebeler, K. ; Nogga, A.FZJ* ; Schwenk, A.

2013
APS College Park, Md.

Physical review letters 111(3), 032501 (2013) [10.1103/PhysRevLett.111.032501]

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Please use a persistent id in citations: http://hdl.handle.net/2128/5562 doi:10.1103/PhysRevLett.111.032501

Abstract: 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.

Keyword(s): effective field theory: chiral ; nucleon nucleon: interaction ; numerical calculations: Monte Carlo ; saturation: density ; n: matter ; higher-order: 2 ; higher-order: 0 ; higher-order: 1 ; nonperturbative ; nuclear matter ; nuclear force ; perturbation theory ; quantum chromodynamics: lattice