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Uncertainties of Euclidean Time Extrapolation in Lattice Effective Field Theory

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arxiv 1409.7538 v1 pith:BYEAKWCA submitted 2014-09-26 nucl-th hep-lat

Timo A. Lähde , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Mei{ss}ner , Gautam Rupak This is my paper
classification nucl-thhep-lat
keywords euclideantimeextrapolationsnlefteffectivefieldlatticetheory
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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.

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