Excited states in nucleon structure calculations

Abstract

Excited state contributions represent a formidable challenge for hadron structure calculations in lattice QCD. For physical systems that exhibit an exponential signal-to-noise problem they often hinder the extraction of ground state matrix elements, introducing a major source of systematic error in lattice calculations of such quantities. The development of methods to treat the contribution of excited states and the current status of related lattice studies are reviewed with focus on nucleon structure calculations that are notoriously affected by excited state contamination.

Invited review article for the EPJA special issue "Lattice Field Theory during the COVID-19 pandemic" in replacement of a plenary talk at the 38th International Symposium on Lattice Field Theory (Lattice 2020). Matching version accepted for publication in EPJA. (27 pages, 26 figures)

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Cited by in corpus (9)

• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• Isovector electromagnetic form factors of the nucleon from lattice QCD and the proton radius puzzle
• Nucleon axial-vector and pseudoscalar form factors, and PCAC relations
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• $N\pi$-state contamination in lattice calculations of the nucleon electromagnetic form factors
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks