Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions

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.

6 pages, 3 figures, 1 table

References in corpus (20)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraints on neutron star radii based on chiral effective field theory interactions
• Three-body forces: From cold atoms to nuclei
• Local three-nucleon interaction from chiral effective field theory
• Evolution of shell structure in neutron-rich calcium isotopes
• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Strongly paired fermions: Cold atoms and neutron matter
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Quantum Monte Carlo calculation of the equation of state of neutron matter
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Viability of carbon-based life as a function of the light quark mass
• Cold neutrons trapped in external fields
• Short-range nuclear forces in singlet channels
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Chiral Fermi liquid approach to neutron matter
• Role of three-nucleon forces and many-body processes in nuclear pairing
• Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
• Spin-polarized low-density neutron matter

Cited by in corpus (230)

• Equations of state for supernovae and compact stars
• Quantum Monte Carlo methods for nuclear physics
• Nuclear effective field theory: status and perspectives
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations
• Microscopic Clustering in Light Nuclei
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• A critical examination of constraints on the equation of state of dense matter obtained from GW170817
• Constraining Neutron-Star Matter with Microscopic and Macroscopic Collisions
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Neutron Stars and the Nuclear Equation of State
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Neutron matter from chiral effective field theory interactions
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• 50 Years of Quantum Chromodynamics
• Nucleon Effective Masses in Neutron-Rich Matter
• Coupled-cluster calculations of nucleonic matter
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Asymmetric nuclear matter based on chiral two- and three-nucleon interactions
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Constraining the nuclear matter equation of state around twice saturation density
• Using Neutron Star Observations to Determine Crust Thicknesses, Moments of Inertia, and Tidal Deformabilities
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Local chiral potentials and the structure of light nuclei
• Light-nuclei spectra from chiral dynamics
• Neutron matter from chiral two- and three-nucleon calculations up to N${}^3$LO
• Neutron Matter from Low to High Density
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Towards an ab initio covariant density functional for nuclear structure
• The equation of state of neutron matter, symmetry energy, and neutron star structure
• The nuclear matter equation of state with consistent two- and three-body perturbative chiral interactions
• On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
• Direct Astrophysical Tests of Chiral Effective Field Theory at Supranuclear Densities
• Two-Nucleon Higher Partial-Wave Scattering from Lattice QCD
• Microscopic calculations and energy expansions for neutron-rich matter
• Equation of state of nuclear and neutron matter at third-order in perturbation theory from chiral EFT
• Symmetry Energy of Nucleonic Matter With Tensor Correlations
• Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
• Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Effective Field Theory for Lattice Nuclei
• Towards order-by-order calculations of the nuclear and neutron matter equations of state in chiral effective field theory
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Probing the core of the strong nuclear interaction
• Nuclear chiral dynamics and thermodynamics
• Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
• Properties of nuclei up to $A=16$ using local chiral interactions
• Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations
• Nuclear and neutron-star matter from local chiral interactions
• Accurate determination of the interaction between $\Lambda$ hyperons and nucleons from auxiliary field diffusion Monte Carlo calculations
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Confronting gravitational-wave observations with modern nuclear physics constraints
• Holographic quark matter and neutron stars
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• New applications of renormalization group methods in nuclear physics
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Electric Dipole Polarizability in ${}^{208}$Pb as a Probe of the Symmetry Energy and Neutron Matter around ${\rho }_0/3$
• Nuclear thermodynamics from chiral low-momentum interactions
• Chiral EFT based nuclear forces: Achievements and challenges
• Towards high-order calculations of three-nucleon scattering in chiral effective field theory
• Towards grounding nuclear physics in QCD
• Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral nucleon-nucleon forces
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Isovector properties of the Gogny interaction
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• $Abinitio$ constraints on thermal effects of the nuclear equation of state
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Nuclear Equation of state for Compact Stars and Supernovae
• Symmetry energy of cold nucleonic matter within a relativistic mean field model encapsulating effects of high momentum nucleons induced by short-range correlations
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Neutron star crusts from mean field models constrained by chiral effective field theory
• Feasability of constraining the curvature parameter of the symmetry energy using elliptic flow data
• Functional renormalization group studies of nuclear and neutron matter
• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
• From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions
• Constraints on the nuclear symmetry energy from asymmetric-matter calculations with chiral NN and 3N interactions
• Optical potentials for the rare-isotope beam era
• Short Range Correlations and the EMC Effect in Effective Field Theory
• Improved many-body expansions from eigenvector continuation
• Regulator Artifacts in Uniform Matter for Chiral Interactions
• Exploring New Small System Geometries in Heavy Ion Collisions
• Relativistic mean-field theories for neutron-star physics based on chiral effective field theory
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Deconfined, Massive Quark Phase at High Density and Compact Stars: A Holographic Study
• Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter
• New Ideas in Constraining Nuclear Forces
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• Constraints on the symmetry energy from observational probes of the neutron star crust
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Extended Skyrme interactions for nuclear matter, finite nuclei and neutron stars
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Weinberg eigenvalues for chiral nucleon-nucleon interactions
• Local chiral interactions and magnetic structure of few-nucleon systems
• Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion
• Static Response of Neutron Matter
• Benchmark calculations of infinite neutron matter with realistic two- and three-nucleon potentials
• The long and winding road from chiral effective Lagrangians to nuclear structure
• Predicting the moment of inertia of pulsar J0737-3039A from Bayesian modeling of the nuclear equation of state
• Power counting in chiral effective field theory and nuclear binding
• From the microscopic to the macroscopic world: from nucleons to neutron stars
• The isospin quartic term in the kinetic energy of neutron-rich nucleonic matter
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Low-energy theorems for nucleon-nucleon scattering at unphysical pion masses
• Perturbative quantum Monte Carlo method for nuclear physics
• Charged-current reactions in the supernova neutrino-sphere
• The nuclear symmetry energy from neutron skins and pure neutron matter in a Bayesian framework
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Generalized Contact Formalism Analysis of the ${}^4$He$(e,e^{\prime }pN)$ Reaction
• Relativistic Brueckner-Hartree-Fock theory for neutron drops
• Deep-neural-network approach to solving the ab initio nuclear structure problem
• Single- and two-nucleon momentum distributions for local chiral interactions
• Radii of neutron drops probed via the neutron skin thickness of nuclei
• Ab initio and phenomenological studies of the static response of neutron matter
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Towards heavy-mass ab initio nuclear structure: Open-shell Ca, Ni and Sn isotopes from Bogoliubov coupled-cluster theory
• Relativistic effects and three-body interactions in atomic nuclei
• Degeneracy in the inference of phase transitions in the neutron star equation of state from gravitational wave data
• The neutron polaron as a constraint on nuclear density functionals
• Nuclear Reactions from Lattice QCD
• Implementing chiral three-body forces in terms of medium-dependent two-body forces
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Momentum distributions and short-range correlations in the deuteron and ${}^3$He with modern chiral potentials
• Extracting nuclear matter properties from the neutron star matter equation of state using deep neural networks
• Prior probability distributions of neutron star crust models
• Non-perturbative Extraction of the Effective Mass in Neutron Matter
• Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
• Nuclear energy density functionals grounded in ab initio calculations
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Double-folding potentials from chiral effective field theory
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Medium-heavy nuclei from nucleon-nucleon interactions in lattice QCD
• Clustering of Four-Component Unitary Fermions
• Symmetry energy and neutron star properties constrained by chiral effective field theory calculations
• To which densities is spin-polarized neutron matter a weakly interacting Fermi gas?
• Proton-skins in momentum space and neutron-skins in coordinate space in heavy nuclei
• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• The chiral condensate in neutron matter
• An Amelioration for the Sign Problem: Adiabatic Quantum Monte Carlo
• Maximally local two-nucleon interactions at N${}^3$LO in $\Delta$-less chiral effective field theory
• Applying the Density Matrix Expansion with Coordinate-Space Chiral Interactions
• Cutoff regulators in chiral nuclear effective field theory
• Spin-polarized neutron matter, the maximum mass of neutron stars, and GW170817
• $\alpha$-cluster structures above double shell closures via double-folding potentials from chiral effective field theory
• Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
• Dispersion relations applied to double-folding potentials from chiral EFT
• Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state
• Hot and dense matter beyond relativistic mean field theory
• Neutron matter from local chiral effective field theory interactions at large cutoffs
• Spin-polarized neutron matter at different orders of chiral effective field theory
• Tidal Deformability Doppelgangers: Implications of a low-density phase transition in the neutron star equation of state
• Quantifying Correlations Between Isovector Observables and the Density Dependence of Nuclear Symmetry Energy away from Saturation Density
• Emulators for scarce and noisy data: application to auxiliary field diffusion Monte Carlo for the deuteron
• Second-Order Perturbation Theory in Continuum Quantum Monte Carlo Calculations
• Isospin dependence of nucleon effective masses in neutron-rich matter
• Emulators for Scarce and Noisy Data: Application to Auxiliary-Field Diffusion Monte Carlo for Neutron Matter
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Toward a systematic strategy for defining power counting in the construction of the energy density functional theory
• Low-rank matrix decompositions for ab initio nuclear structure
• Large-cutoff behavior of local chiral effective field theory interactions
• Nucleon Effective E-Mass in Neutron-Rich Matter from the Migdal-Luttinger Jump
• Machine-learning approach to finite-size effects in systems with strongly interacting fermions
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• The radius of a typical-mass neutron star and chiral effective field theory
• Satisfying the compressibility sum rule in neutron matter
• Constraining the properties of dense matter and neutron stars by combining nuclear physics and gravitational waves from GW170817
• Renormalization of a Finite Range Inverse Cube Potential
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Nuclear matter with JISP16 NN interaction
• Comparing different density-matrix expansions for long-range pion exchange
• Nonparametric extensions of nuclear equations of state: probing the breakdown scale of relativistic mean-field theory
• Testing the formation scenarios of binary neutron star systems with measurements of the neutron star moment of inertia
• Perturbative computations of neutron-proton scattering observables using renormalization-group invariant $\chi$EFT up to N${}^3$LO
• Nuclear-Physics Multi-Messenger Astrophysics Constraints on the Neutron-Star Equation of State: Adding NICER's PSR J0740+6620 Measurement
• Perturbative quantum Monte Carlo calculation with high-fidelity nuclear forces
• Comparison of nuclear hamiltonians using spectral function sum rules
• Radius and equation of state constraints from massive neutron stars and GW190814
• Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
• Temperature effects on the neutron matter equation of state obtained from chiral effective field theory
• Self-consistent Green's functions with three-body forces
• Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes
• Perturbative treatment of nonlocal chiral interactions in auxiliary-field diffusion Monte Carlo calculations
• Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects
• Nuclear matter from the ladder resummation in terms of the experimental nucleon-nucleon scattering amplitudes
• Modeling Neutron Star Matter in the Age of Multimessenger Astrophysics
• $\alpha$-nucleus optical potentials from chiral effective field theory $NN$ interactions
• Studying Short-Range Correlations with Real Photon Beams at GlueX
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Estimates and power counting in uniform matter with softened interactions
• Chiral symmetry and peripheral neutron-$\alpha$ scattering
• Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations
• Neutron matter within QCD sum rules
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Dense matter equation of state and neutron star properties from nuclear theory and experiment
• Local two- and three-nucleon chiral interactions
• Observing short-range correlations in nuclei through ${\rho }^0$ photo-production
• Nuclear three-body short-range correlations in coordinate space
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Cold atoms beyond atomic physics
• Neutron matter at the interface(s): static response and effective mass
• Skyrme-based extrapolation for the static response of neutron matter
• From nuclear structure to neutron stars
• Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
• Origins and Impacts of High-Density Symmetry Energy
• Constrained-Path Quantum Monte-Carlo Approach for Non-Yrast States Within the Shell Model
• Nuclear lattice simulations: Status and perspectives
• Chiral Effective Field Theory's Impact on Advancing Quantum Monte Carlo Methods
• The EOS of neutron matter and the effect of $\Lambda$ hyperons to neutron star structure
• Constraining Hamiltonians from chiral effective field theory with neutron-star data
• An overview of symmetric nuclear matter properties from chiral interactions up to fourth order of the chiral expansion
• Nucleon-nucleon potentials in phase-space representation
• Multi-fixed point numerical conformal bootstrap: a case study with structured global symmetry
• Conformal prediction for uncertainties in nucleon-nucleon scattering
• Study of nucleonic matter with a consistent two- and three-body perturbative chiral interaction