Twist-two matrix elements at finite and infinite volume

Details Twist-two matrix elements at finite and infinite volume Twist-two matrix elements at finite and infinite volume

2005-01-10

arxiv.org/abs/hep-lat/0501007v2

Phys.Rev.D71:054510,2005

Physics

High Energy Physics

High Energy Physics - Lattice

35 pages, 7 figures, typos corrected

Scientific paper

10.1103/PhysRevD.71.054510

We present one-loop results for the forward twist-two matrix elements relevant to the unpolarised, helicity and transversity baryon structure functions, in partially-quenched (N_f=2 and N_f=2+1) heavy baryon chiral perturbation theory. The full-QCD limit can be straightforwardly obtained from these results and we also consider SU(2|2) quenched QCD. Our calculations are performed in finite volume as well as in infinite volume. We discuss features of lattice simulations and investigate finite volume effects in detail. We find that volume effects are not negligible, typically around 5--10% in current partially-quenched and full QCD calculations, and are possibly larger in quenched QCD. Extensions to the off-forward matrix elements and potential difficulties that occur there are also discussed.

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