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Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

Year: 2013
Type: article
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.
DOI: 10.1103/physrevlett.111.032501
Authors: A. Gezerlis, I. Tews, E. Epelbaum, S. Gandolfi, K. Hebeler, A. Nogga, A. Schwenk
Institutions: GSI Helmholtz Centre for Heavy Ion Research, Technische Universität Darmstadt, ExtreMe Matter Institute EMMI, Ruhr University Bochum, Los Alamos National Laboratory, The Ohio State University, Forschungszentrum Jülich
Language: English
Open Access status: green
Funders: National Science Foundation, U.S. Department of Energy, National Energy Research Scientific Computing Center, Emberi Eroforrások Minisztériuma, Laboratory Directed Research and Development, Los Alamos National Laboratory
OpenAlex ID: W2081328147
FWCI: 12.53
Cites: 59
Cited by: 320
Related to: 10