Moments of Ioffe time parton distribution functions from non-local matrix elements

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Abstract

We examine the relation of moments of parton distribution functions to matrix elements of non-local operators computed in lattice quantum chromodynamics. We argue that after the continuum limit is taken, these non-local matrix elements give access to moments that are finite and can be matched to those defined in the \( \overline{MS} \) scheme. We demonstrate this fact with a numerical computation of moments through non-local matrix elements in the quenched approximation and we find that these moments are in agreement with the moments obtained from direct computations of local twist-2 matrix elements in the quenched approximation.

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Correspondence to Savvas Zafeiropoulos.

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ArXiv ePrint: 1807.10933

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Karpie, J., Orginos, K. & Zafeiropoulos, S. Moments of Ioffe time parton distribution functions from non-local matrix elements. J. High Energ. Phys. 2018, 178 (2018). https://doi.org/10.1007/JHEP11(2018)178

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Keywords

  • Lattice QCD
  • Lattice Quantum Field Theory