Proceedings

EPJ A Highlight - Lattice Improvement in Lattice Effective Field Theory

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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.

On behalf of the Chairs of “The Time Machine Factory 2012” Conference I would like to express our gratitude to the impressive staff of the EPJ Web of Conferences: in all honesty, it has been an excellent, quick and professional experience that absolutely we recommend.

Dr. Marco Gramegna, INRiM - Istituto Nazionale di Ricerca Metrologica, Italy
Co-editor EPJ Web of Conferences vol.58, 2013

ISSN: 2100-014X (Electronic Edition)

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