Lattice Improvement in Lattice Effective Field Theory
arXiv:1807.04234 · doi:10.1140/epja/i2018-12676-1
Abstract
Lattice calculations using the framework of effective field theory have been applied to a wide range few-body and many-body systems. One of the challenges of these calculations is to remove systematic errors arising from the nonzero lattice spacing. Fortunately, the lattice improvement program pioneered by Symanzik provides a formalism for doing this. While lattice improvement has already been utilized in lattice effective field theory calculations, the effectiveness of the improvement program has not been systematically benchmarked. In this work we use lattice improvement to remove lattice errors for a one-dimensional system of bosons with zero-range interactions. We construct the improved lattice action up to next-to-next-to-leading order and verify that the remaining errors scale as the fourth power of the lattice spacing for observables involving as many as five particles. Our results provide a guide for increasing the accuracy of future calculations in lattice effective field theory with improved lattice actions.
arXiv comment10 pages, 8 figures
References in corpus (36)
- Modern Theory of Nuclear Forces
- Chiral symmetry and O(a) improvement in lattice QCD
- Improved Nonrelativistic QCD for Heavy Quark Physics
- Non-perturbative O(a) improvement of lattice QCD
- Ab initio calculation of the Hoyle state
- The Three-Boson System with Short-Range Interactions
- Structure and rotations of the Hoyle state
- Lattice simulations for few- and many-body systems
- Spin 1/2 Fermions in the Unitary Regime: A Superfluid of a New Type
- The Four-Boson System with Short-Range Interactions
- Ab initio alpha-alpha scattering
- Ab initio calculation of the spectrum and structure of O
- Auxiliary Field quantum Monte Carlo for Strongly Paired Fermions
- Lattice Effective Field Theory for Medium-Mass Nuclei
- On the correlation between the binding energies of the triton and the alpha-particle
- Nuclear binding near a quantum phase transition
- Ab initio calculations of the isotopic dependence of nuclear clustering
- Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
- Further Precise Determinations of from Lattice QCD
- The ground state energy at unitarity
- Lattice Monte Carlo calculations for unitary fermions in a finite box
- Radiative capture reactions in lattice effective field theory
- Benchmark calculations for elastic fermion-dimer scattering
- Nucleon-deuteron scattering using the adiabatic projection method
- Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order
- Ab initio lattice results for Fermi polarons in two dimensions
- Large-N droplets in two dimensions
- Alpha_S from Upsilon Spectroscopy with Dynamical Wilson Fermions
- Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
- Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory
- Regularization Methods for Nuclear Lattice Effective Field Theory
- Renormalization of the three-boson system with short-range interactions revisited
- The Tjon Band in Nuclear Lattice Effective Field Theory
- Three Bosons in One Dimension with Short Range Interactions I: Zero Range Potentials
- Universal dimer-dimer scattering in lattice effective field theory
- Exploratory investigation of nucleon-nucleon interactions using Euclidean Monte Carlo simulations