Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order

Abstract

We discuss lattice simulations of light nuclei at leading order in chiral effective field theory. Using lattice pion fields and auxiliary fields, we include the physics of instantaneous one-pion exchange and the leading-order S-wave contact interactions. We also consider higher-derivative contact interactions which adjust the S-wave scattering amplitude at higher momenta. By construction our lattice path integral is positive definite in the limit of exact Wigner SU(4) symmetry for any even number of nucleons. This SU(4) positivity and the approximate SU(4) symmetry of the low-energy interactions play an important role in suppressing sign and phase oscillations in Monte Carlo simulations. We assess the computational scaling of the lattice algorithm for light nuclei with up to eight nucleons and analyze in detail calculations of the deuteron, triton, and helium-4.

44 pages, 15 figures

References in corpus (4)

• Competing orders in one dimensional spin 3/2 fermionic systems
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Large basis ab initio shell model investigation of 9-Be and 11-Be
• Orthonormalization procedure for chiral effective nuclear field theory

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