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Parton distribution functions on the lattice and in the continuum

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arxiv 1710.08288 v1 pith:SYFTWISP submitted 2017-10-20 hep-lat hep-phnucl-th

Joseph Karpie , Kostas Orginos , Anatoly Radyushkin , Savvas Zafeiropoulos This is my paper
classification hep-lathep-phnucl-th
keywords distributionsfunctionsioffe-timedistributionfirstlatticepartonapproximation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Ioffe-time distributions, which are functions of the Ioffe-time $\nu$, are the Fourier transforms of parton distribution functions with respect to the momentum fraction variable $x$. These distributions can be obtained from suitable equal time, quark bilinear hadronic matrix elements which can be calculated from first principles in lattice QCD, as it has been recently argued. In this talk I present the first numerical calculation of the Ioffe-time distributions of the nucleon in the quenched approximation.

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