Form factors in lattice QCD

Abstract

Lattice simulations of QCD have produced precise estimates for the masses of the lowest-lying hadrons which show excellent agreement with experiment. By contrast, lattice results for the vector and axial vector form factors of the nucleon show significant deviations from their experimental determination. We present results from our ongoing project to compute a variety of form factors with control over all systematic uncertainties. In the case of the pion electromagnetic form factor we employ partially twisted boundary conditions to extract the pion charge radius directly from the linear slope of the form factor near vanishing momentum transfer. In the nucleon sector we focus specifically on the possible contamination from contributions of higher excited states. We argue that summed correlation functions offer the possibility of eliminating this source of systematic error. As an illustration of the method we discuss our results for the axial charge, gA, of the nucleon.

16 pages, 11 figures, presented at Conclusive Symposium, CRC443, "Many-body structure of strongly interacting systems", 23-25 Feb 2011, Mainz, Germany

References in corpus (12)

• Ab-initio Determination of Light Hadron Masses
• Four-dimensional graphene and chiral fermions
• Axial Nucleon form factors from lattice QCD
• Light baryon masses with dynamical twisted mass fermions
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Deflation acceleration of lattice QCD simulations
• Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2
• Creutz Fermions on an Orthogonal Lattice
• Nucleon electromagnetic form factors in twisted mass lattice QCD
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Determination of the Static Potential with Dynamical Fermions
• Hadronic form factors in Lattice QCD at small and vanishing momentum transfer

Cited by in corpus (11)

• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Nucleon Charges and Electromagnetic Form Factors from 2+1+1-Flavor Lattice QCD
• Iso-vector axial form factors of the nucleon in two-flavour lattice QCD
• Nucleon electromagnetic form factors in two-flavour QCD
• The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
• Strange electromagnetic form factors of the nucleon with $N_f=2+1$ $\mathcal{O}(a)$-improved Wilson fermions
• Two Photon Decays of ${\eta }_c$ from Lattice QCD
• Excited states in nucleon structure calculations
• Hadron Structure in Lattice QCD
• Calculation of the pion electromagnetic form factor from lattice QCD
• On the efficiency of stochastic volume sources for the determination of light meson masses