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@ARTICLE{Klein:859219,
author = {Klein, Nico and Lee, Dean and Meissner, Ulf-G.},
title = {{L}attice improvement in lattice effective field theory},
journal = {The European physical journal / A},
volume = {54},
number = {12},
issn = {0939-7922},
address = {Heidelberg},
publisher = {Springer},
reportid = {FZJ-2019-00100},
pages = {233},
year = {2018},
abstract = {Lattice calculations using the framework of effective field
theory have been applied to a wide range of few-body and
many-body systems. One of the challenges of these
calculations is to remove systematic errors arising from the
nonzero lattice spacing. Fortunately, the lattice
improvement program pioneered by Symanzik provides a
formalism for doing this. While lattice improvement has
already been utilized in lattice effective field theory
calculations, the effectiveness of the improvement program
has not been systematically benchmarked. In this work we use
lattice improvement to remove lattice errors for a
one-dimensional system of bosons with zero-range
interactions. We construct the improved lattice action up to
next-to-next-to-leading order and verify that the remaining
errors scale as the fourth power of the lattice spacing for
observables involving as many as five particles. Our results
provide a guide for increasing the accuracy of future
calculations in lattice effective field theory with improved
lattice actions.},
cin = {IAS-4 / IKP-3 / JARA-HPC},
ddc = {530},
cid = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104 /
$I:(DE-82)080012_20140620$},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511) / DFG project 196253076 - TRR 110: Symmetrien und
Strukturbildung in der Quantenchromodynamik (196253076) /
Nuclear Lattice Simulations $(jara0015_20130501)$},
pid = {G:(DE-HGF)POF3-511 / G:(GEPRIS)196253076 /
$G:(DE-Juel1)jara0015_20130501$},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000455187000001},
doi = {10.1140/epja/i2018-12676-1},
url = {https://juser.fz-juelich.de/record/859219},
}