Proceedings

EPJ A Highlight - Lattice Improvement in Lattice Effective Field Theory

alt
The dimer-boson inverse scattering length $1/a_{3}$ versus lattice spacing at LO, NLO, and N2LO. The vertical lines give the upper limits of the fit range

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. While the lattice improvement program pioneered by Symanzik provides a formalism for doing this and has already been utilized in lattice effective field theory calculations, the effectiveness of the improvement program has not been systematically benchmarked.

In this work lattice improvement is used to remove lattice errors for a one-dimensional system of bosons with zero-range interactions. To this aim the improved lattice action up to next-to-next-to-leading order is constructed and it is verified that the remaining errors scale as the fourth power of the lattice spacing for observables involving as many as five particles. These results provide a guide for increasing the accuracy of future calculations in lattice effective field theory with improved lattice actions.

This year we decided to make the proceedings of the Workshop available to a wider scientific audience than in previous years. Choosing the media for publishing the papers we had two goals in mind. Firstly, we would like the papers to be in open access, and, secondly, to be indexed in major scientific databases (most notably in Scopus). Among the available choices, we opted for publication in EPJ Web of Conferences due to its international reputation and flexible policy in terms of papers format and publication pricing. The publishing procedure with EPJ was pleasant and smooth, all technical questions were solved in a fast and professional manner. Looking forwards to future collaborations with EPJ Web of Conferences.

Sergey Mishakin, Institute of Applied Physics, Russia
Scientific Secretary of the Workshop, EPJ Web of Conferences vol. 149 (2017)

ISSN: 2100-014X (Electronic Edition)

© EDP Sciences