Nucleon structure functions with domain wall fermions

Abstract

We present a quenched lattice QCD calculation of the first few moments of the polarized and un-polarized structure functions of the nucleon. Our calculations are done using domain wall fermions and the DBW2 gauge action with inverse lattice spacing ~1.3GeV, physical volume approximatelly (2.4 fm)^3, and light quark masses down to about 1/4 the strange quark mass. Values of the individual moments are found to be significantly larger than experiment, as in past lattice calculations, but interestingly the chiral symmetry of domain wall fermions allows for a precise determination of the ratio of the flavor non-singlet momentum fraction to the helicity distribution, which is in very good agreement with experiment. We discuss the implications of this result. Next, we show that the chiral symmetry of domain wall fermions is useful in eliminating mixing of power divergent lower dimensional operators with twist-3 operators. Finally, we find the isovector tensor charge at renormalization scale 2 GeV in the MS bar scheme to be 1.192(30), where the error is the statistical error only.

41 pages, 17 figures

References in corpus (9)

• Lattice QCD with two dynamical flavors of domain wall quarks
• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Twist-two matrix elements at finite and infinite volume
• Non-Singlet QCD Analysis of the Structure Function F_2 in 3-Loops
• Generalized parton distributions and transversity from full lattice QCD
• Generalized parton distributions and structure functions from full lattice QCD
• Axial and tensor charge of the nucleon with dynamical fermions
• Nucleon structure with domain wall fermions
• A lattice determination of g_A and <x> from overlap fermions

Cited by in corpus (11)

• Distribution Functions of the Nucleon and Pion in the Valence Region
• Quark helicity flip generalized parton distributions from two-flavor lattice QCD
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Nucleon structure with two flavors of dynamical domain-wall fermions
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Nucleon structure with dynamical (2+1)-flavor domain wall fermions lattice QCD
• Investigations of hadron structure on the lattice
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Measurement of the Transverse Single-Spin Asymmetry for Mid-rapidity Production of Neutral Pions in Polarized p+p Collisions at 200 GeV Center-of-Mass Energy
• What the lattice can tell us about nucleon structure