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Uncertainties of Euclidean time extrapolation in lattice effective field theory

2014/09/26 by Timo A Lähde, Timo A. Lähde, Evgeny Epelbaum +5 · 9 citations
Physics and Astronomy · #Euclidean distance #Euclidean domain #Euclidean geometry #Extrapolation #Lattice (music) #Monte Carlo method #Neutrino Physics Research #Nuclear physics research studies #Projection (relational algebra) #Rare-earth and actinide compounds #Sign (mathematics) #hep-lat #nucl-th

paper · pdf · doi:10.1088/0954-3899/42/3/034012

published in Journal of Physics G Nuclear and Particle Physics 42(3), 034012 (IOP Publishing) · 16 pages, 8 figures, to be published in J. Phys. G

arxiv created 2014/09/26 · openalex publication_date 2015/02/05 · arxiv updated 2015/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations