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.

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

References in corpus (10)

• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• Exclusive processes in position space and the pion distribution amplitude
• A Lattice Calculation of Parton Distributions
• Nucleon isovector couplings from $N_f=2$ lattice QCD
• On the renormalization of quasi parton distribution
• Lattice QCD study of the Boer-Mulders effect in a pion
• The moment $⟨x{⟩}_{u-d}$ of the nucleon from $N_f=2$ lattice QCD down to nearly physical quark masses
• Lattice QCD with Domain Decomposition on Intel Xeon Phi Co-Processors
• Hadronic vacuum polarization and muon g-2 from magnetic susceptibilities on the lattice

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