Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory

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.

16 pages, 8 figures, to be published in J. Phys. G

References in corpus (6)

• Chiral effective field theory and nuclear forces
• Structure and rotations of the Hoyle state
• Evolution of shell structure in neutron-rich calcium isotopes
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order

Cited by in corpus (1)

• Wigner SU(4) symmetry, clustering, and the spectrum of ${}^{12}$C