Temperature-dependent errors in nuclear lattice simulations

Abstract

We study the temperature dependence of discretization errors in nuclear lattice simulations. We find that for systems with strong attractive interactions the predominant error arises from the breaking of Galilean invariance. We propose a local "well-tempered" lattice action which eliminates much of this error. The well-tempered action can be readily implemented in lattice simulations for nuclear systems as well as cold atomic Fermi systems.

33 pages, 17 figures

References in corpus (31)

• Universality in Few-body Systems with Large Scattering Length
• Renormalization of the Three-Body System with Short-Range Interactions
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• The Three-Boson System with Short-Range Interactions
• Renormalization of One-Pion Exchange and Power Counting
• Effective Theory of the Triton
• Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Cluster Formation and The Virial Equation of State of Low-Density Nuclear Matter
• Two Nucleons on a Lattice
• The Four-Boson System with Short-Range Interactions
• Power counting with one-pion exchange
• High temperature expansion applied to fermions near Feshbach resonance
• On the correlation between the binding energies of the triton and the alpha-particle
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• The Virial Equation of State of Low-Density Neutron Matter
• Nuclear Lattice Simulations with Chiral Effective Field Theory
• Nuclear Matter on a Lattice
• A lattice theory for low energy fermions at finite chemical potential
• Cold dilute neutron matter on the lattice II: Results in the unitary limit
• Ground state energy of spin-1/2 fermions in the unitary limit
• 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
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• The triton and three-nucleon force in nuclear lattice simulations
• Universality in a 2-component Fermi System at Finite Temperature
• Effective Field Theory of Nucleon-Nucleon Scattering on Large Discrete Lattices
• Superfluidity and excitations at unitarity
• Mean Field Calculation of Thermal Properties of Simple Nucleon Matter on a Lattice
• BCS and Attractive Hubbard Model Comparative Study
• Lattice gas models derived from effective field theory

Cited by in corpus (12)

• Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
• The ground state energy at unitarity
• Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles
• Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
• Chiral effective field theory on the lattice at next-to-leading order
• Precision benchmark calculations for four particles at unitarity
• The symmetric heavy-light ansatz
• Regularization Methods for Nuclear Lattice Effective Field Theory
• Galilean invariance restoration on the lattice
• Lattice approaches to dilute Fermi gases: Legacy of broken Galilean invariance
• Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: ${}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}$
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED