Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

2013/03/31 by A. Gezerlis, Alexandros Gezerlis, Ingo Tews +7 · 11 citations
Physics and Astronomy · #Diffusion Monte Carlo #Effective field theory #Hybrid Monte Carlo #Markov chain Monte Carlo #Monte Carlo method #Nuclear matter #Nuclear physics research studies #Nucleon #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum Monte Carlo #Quantum chromodynamics #Quantum electrodynamics #Quantum, superfluid, helium dynamics #Statistical physics #cond-mat.quant-gas #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevlett.111.032501

published as Phys. Rev. Lett. 111, 032501 (2013) · 6 pages, 3 figures, 1 table

openalex publication_date 2013/07/18 · arxiv created 2013/07/22 · arxiv updated 2013/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Medium-Mass Nuclei with Normal-Ordered ChiralNN+3NInteractions
• Local three-nucleon interaction from chiral effective field theory
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Phase separation in low-density neutron matter
• Evolution of Shell Structure in Neutron-Rich Calcium Isotopes
• Modern theory of nuclear forces
• From low-momentum interactions to nuclear structure
• Path integrals in the theory of condensed helium
• Three-Body Forces and the Limit of Oxygen Isotopes
• Chiral effective field theory and nuclear forces
• Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes
• Ab initio no core shell model

Cited by

• Dense matter equation of state and neutron star properties from nuclear theory and experiment
• Properties of Nuclei up to A=16 using Local Chiral Interactions
• Cutoff regulators in chiral nuclear effective field theory
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Short-Range Correlations and the EMC Effect in Effective Field Theory
• Accurate bulk properties of nuclei from A=2 to ∞ from potentials with Δ isobars
• Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter
• Neutron polaron as a constraint on nuclear density functionals
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations
• Properties of nuclear matter within the JISP16NNinteraction