Review of Hadron Structure Calculations on a Lattice

Abstract

I present a review of the current status and the most recent achievements in lattice QCD calculations of hadron structure. First, I overview the status and systematic uncertainties of nucleon structure "benchmark" quantities that are well known from experiments and serve as a reference point for the validity of lattice QCD methods. Next, I discuss the current status of calculations of form factors of the nucleon and highlight some recent results for other hadrons that are important for understanding their internal dynamics. Wave functions of hadrons and their excitations may also be studied in lattice QCD, and I illustrate it with two recent examples of such calculations. Finally, I discuss in detail the state of calculations pertaining to the nucleon spin puzzle.

arXiv comment14 pages, 15 figures. Plenary talk at the XXXI International Symposium on Lattice Field Theory, Lattice2013, July 29-August 3, 2013, Mainz, Germany

References in corpus (33)

• Gauge-Invariant Decomposition of Nucleon Spin and Its Spin-Off
• Ab-initio Determination of Light Hadron Masses
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions
• The form factors of the nucleon at small momentum transfer
• The nucleon axial charge from lattice QCD with controlled errors
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• FLAVOR-SINGLET g_A FROM LATTICE QCD
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Nucleon form factors and moments of generalized parton distributions using $N_f=2+1+1$ twisted mass fermions
• Axial Nucleon form factors from lattice QCD
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Strangeness Contribution to the Proton Spin from Lattice QCD
• Strange quark contributions to nucleon mass and spin from lattice QCD
• Disconnected quark loop contributions to nucleon observables in lattice QCD
• Nucleon Structure from Lattice QCD Using a Nearly Physical Pion Mass
• Nucleon axial charge and pion decay constant from two-flavor lattice QCD
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Exploring strange nucleon form factors on the lattice
• Dirac and Pauli form factors from lattice QCD
• Precision Study of Excited State Effects in Nucleon Matrix Elements
• Wave Function of the Roper from Lattice QCD
• The scalar pion form factor in two-flavor lattice QCD
• <x>_{u-d} from lattice QCD at nearly physical quark masses
• Nucleon form factors and structure functions
• Finite-volume corrections to charge radii
• A high-statistics study of the nucleon EM form factors, axial charge and quark momentum fraction
• First moments of the nucleon generalized parton distributions from lattice QCD
• Evaluation of disconnected contributions using GPUs
• Moments of structure functions for $N_f=2$ near the physical point
• Nucleon Structure with Domain Wall Fermions at a = 0.084 fm
• Status of nucleon structure calculations with 2+1 flavors of domain wall fermions
• Computation of disconnected contributions to nucleon observables

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• Updated Lattice Results for Parton Distributions
• Nucleon matrix elements from lattice QCD with all-mode-averaging and a domain-decomposed solver: an exploratory study