Looking at the gluon moment of the nucleon with dynamical twisted mass fermions

Abstract

To understand the structure of hadrons it is important to know the PDF of their constituents, the quarks and gluons. In our work we aim to compute the first moment of the gluon PDF $⟨x{⟩}_g$ for the nucleon. We follow two possible approaches in order to extract the gluon moment: the Feynman-Hellmann theorem and a direct method with smearing of the gluon operator. We present preliminary results computed on $24^3\times 48$ lattices for the case where the Feynman-Hellman theorem is used and $32^3\times 64$ lattices for the direct method, employing $N_f=2+1+1$ maximally twisted mass fermions.

7 pages, 3 figures, talk given at the 31st International Symposium on Lattice Field Theory (Lattice 2013), July 29-August 3 2013, Mainz, Germany

References in corpus (2)

• Gluon contributions to the pion mass and light cone momentum fraction
• Quark and Glue Momenta and Angular Momenta in the Proton --- a Lattice Calculation

Cited by in corpus (7)

• A Lattice Calculation of Parton Distributions
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Gluon momentum fraction of the nucleon from lattice QCD
• Novel applications of Lattice QCD: Parton distribution functions, proton charge radius and neutron electric dipole moment
• First results with twisted mass fermions towards the computation of parton distribution functions on the lattice
• Selected results on hadron structure using state-of-the-art lattice QCD simulations
• Recent progress in hadron structure from Lattice QCD