Nucleon structure functions with domain wall fermions
- CTP/LNS, Room 6-304, Massachusetts Institute of Technology, 77 Massachusetts Ave., Cambridge, Massachusetts 02139-4307 (United States)
- RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973 (United States)
- Institute for Particle and Nuclear Studies, KEK, Tsukuba, Ibaraki, 305-0801 (Japan)
We present a quenched lattice QCD calculation of the first few moments of the polarized and unpolarized structure functions of the nucleon. Our calculations are done using domain wall fermions and the DBW2 gauge action with inverse lattice spacing a{sup -1}{approx_equal}1.3 GeV, physical volume V{approx_equal}(2.4 fm){sup 3}, and light quark masses down to about 1/4 the strange quark mass (m{sub {pi}}{approx_equal}400 MeV). 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 nonsinglet momentum fraction to the helicity distribution, <x>{sub u-d}/<x>{sub {delta}}{sub u-{delta}{sub d}}, 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 compute the isovector tensor charge at renormalization scale {mu}=2 GeV in the MS scheme, <1>{sub {delta}}{sub u-{delta}}{sub d}=1.192(30), where the error is the statistical error only.
- OSTI ID:
- 20783005
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 9; Other Information: DOI: 10.1103/PhysRevD.73.094503; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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