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Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors

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arxiv hep-lat/0303012 v1 pith:ZVG4D4KV submitted 2003-03-18 hep-lat

Continuous external momenta in non-perturbative lattice simulations: a computation of renormalization factors

classification hep-lat
keywords renormalizationexternalfactorsmomentacomputecontinuouslatticeoperator
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the usage of continuous external momenta for computing renormalization factors as needed to renormalize operator matrix elements. These kind of external momenta are encoded in special boundary conditions for the fermion fields. The method allows to compute certain renormalization factors on the lattice that would have been very difficult, if not impossible, to compute with standard methods. As a result we give the renormalization group invariant step scaling function for a twist-2 operator corresponding to the average momentum of non-singlet quark densities.

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