Novel quark smearing for hadrons with high momenta in lattice QCD

Abstract

Hadrons in lattice QCD are usually created employing smeared interpolators. We introduce a new quark smearing that allows us to maintain small statistical errors and good overlaps of hadronic wavefunctions with the respective ground states, also at high spatial momenta. The method is successfully tested for the pion and the nucleon at a pion mass $m_{\pi }\approx 295$ MeV and momenta as high as 2.8 GeV. We compare the results obtained to dispersion relations and suggest further optimizations.

Comments: 17 pages, 11 figures, v2: references added, fixed Eqs 26, 29, minor changes in the text, v3: references added and updated, changed title, minor changes