Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory

TL;DR

This paper reviews the challenges and methods of Euclidean time extrapolation in Nuclear Lattice Effective Field Theory, highlighting its importance, limitations, and potential improvements for accurate nuclear calculations.

Contribution

It provides a comprehensive review of Euclidean time extrapolation techniques in NLEFT and discusses strategies to enhance their reliability and accuracy.

Findings

Next-to-next-to-leading order NLEFT results for alpha nuclei up to $^{28}$Si.

Identification of potential pitfalls in Euclidean time extrapolations.

Discussion of avenues for improving extrapolation reliability.

Abstract

Extrapolations in Euclidean time form a central part of Nuclear Lattice Effective Field Theory (NLEFT) calculations using the Projection Monte Carlo method, as the sign problem in many cases prevents simulations at large Euclidean time. We review the next-to-next-to-leading order NLEFT results for the alpha nuclei up to $^{28}$Si, with emphasis on the Euclidean time extrapolations, their expected accuracy and potential pitfalls. We also discuss possible avenues for improving the reliability of Euclidean time extrapolations in NLEFT.