Regularization Methods for Nuclear Lattice Effective Field Theory

TL;DR

This paper explores regularization techniques in Nuclear Lattice Effective Field Theory, demonstrating how different methods affect predictions and lattice spacing independence in both pionless and pionful theories.

Contribution

It introduces and compares regularization methods for lattice EFT, showing their effectiveness in maintaining lattice spacing independence and extending continuum techniques to the pionful case.

Findings

Gaussian smearing achieves lattice spacing independence in pionless theory

Regularization methods from continuum are applicable to pionful theory

Effective range expansion predictions are consistent across regularizations

Abstract

We investigate Nuclear Lattice Effective Field Theory for the two-body system for several lattice spacings at lowest order in the pionless as well as in the pionful theory. We discuss issues of regularizations and predictions for the effective range expansion. In the pionless case, a simple Gaussian smearing allows to demonstrate lattice spacing independence over a wide range of lattice spacings. We show that regularization methods known from the continuum formulation are necessary as well as feasible for the pionful approach.