  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.
