Nuclear Lattice Simulations with Chiral Effective Field Theory

Abstract

We study nuclear and neutron matter by combining chiral effective field theory with non-perturbative lattice methods. In our approach nucleons and pions are treated as point particles on a lattice. This allows us to probe larger volumes, lower temperatures, and greater nuclear densities than in lattice QCD. The low energy interactions of these particles are governed by chiral effective theory and operator coefficients are determined by fitting to zero temperature few-body scattering data. Any dependence on the lattice spacing can be understood from the renormalization group and absorbed by renormalizing operator coefficients. In this way we have a realistic simulation of many-body nuclear phenomena with no free parameters, a systematic expansion, and a clear theoretical connection to QCD. We present results for hot neutron matter at temperatures 20 to 40 MeV and densities below twice nuclear matter density.

41 pages, 23 figures

References in corpus (16)

• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Effective Field Theory for Few-Nucleon Systems
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Evolution of Nuclear Spectra with Nuclear Forces
• Towards a Perturbative Theory of Nuclear Forces
• Quantum Monte Carlo Calculations of Neutron Matter
• Chiral Dynamics and Nuclear Matter
• Nuclear Matter on a Lattice
• Saturation from nuclear pion dynamics
• The lattice gas model with isospin-dependent interactions
• Determinant Approximations
• Lattice regularization for chiral perturbation theory
• Chiral Pertubation Theory with lattice regularization
• Transfer matrices and lattice fermions at finite density
• Zone Determinant Expansions for Nuclear Lattice Simulations
• Massless QED_3 with explicit fermions

Cited by in corpus (59)

• Modern Theory of Nuclear Forces
• Quantum Monte Carlo methods for nuclear physics
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• Viability of carbon-based life as a function of the light quark mass
• Linear Response on a Quantum Computer
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• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Towards grounding nuclear physics in QCD
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
• Many Body Methods and Effective Field Theory
• Neutron matter on the lattice with pionless effective field theory
• Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths
• Ab initio nuclear thermodynamics
• Inequalities for Light Nuclei in the Wigner Symmetry Limit
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Lattice Calculation of Thermal Properties of Low-Density Neutron Matter with Pionless NN Effective Field Theory
• Benchmark calculations for elastic fermion-dimer scattering
• The triton and three-nucleon force in nuclear lattice simulations
• Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories
• Charged current neutrino interactions in core-collapse supernovae in a virial expansion
• Chiral effective field theory on the lattice at next-to-leading order
• Large-N droplets in two dimensions
• Nuclear Reactions from Lattice QCD
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Modern theory of nuclear forces
• Effective interactions for light nuclei: an effective (field theory) approach
• Effective Field Theory of Nucleon-Nucleon Scattering on Large Discrete Lattices
• Radiative corrections to semileptonic beta decays: Progress and challenges
• The symmetric heavy-light ansatz
• Temperature-dependent errors in nuclear lattice simulations
• Superfluidity and excitations at unitarity
• Inequalities for low-energy symmetric nuclear matter
• pi-pi Scattering in Twisted Mass Chiral Perturbation Theory
• Pressure inequalities for nuclear and neutron matter
• Quantum Monte Carlo study of dilute neutron matter at finite temperatures
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Lattice Effective Field Theory Simulations of Nuclei
• Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: ${}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}$
• Hadron Correlations from Recombination and Fragmentation
• Lattice gas models derived from effective field theory
• The Nuclear Yukawa Model on a Lattice
• Quantum Many-Body Calculations using Body-Centered Cubic Lattices
• Lattice methods and the nuclear few- and many-body problem
• Charge-dependent nucleon-nucleon interaction at N${}^3$LO in nuclear lattice effective field theory
• Worldline Monte Carlo method for few body nuclear physics
• High Pt hadron-hadron correlations
• Numerical study of renormalization group flows of nuclear effective field theory without pions on a lattice
• Topics in Lattice QCD and Effective Field Theory
• Ab initio calculation of the Hoyle state and a new look at clustering in nuclei
• Nuclear two point correlation functions on a quantum-computer
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Nuclear effective field theory on the lattice
• Nuclear Lattice Simulations using Symmetry-Sign Extrapolation
• Formal Developments for Lattice QCD with Applications to Hadronic Systems
• Effective Field Theory and the Nuclear Many Body Problem
• Baryon-Baryon Interactions from the Lattice
• Nuclear Lattice Simulations with EFT