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Non-perturbative Renormalization of Quark bilinears

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arxiv hep-lat/9806006 v1 pith:J6KHMQ25 submitted 1998-06-05 hep-lat

classification hep-lat
keywords renormalizationconstantsbilinearscomputegroupnon-perturbativequarkvalues
verification ladder T0 review T1 audit T2 compute T3 formal

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We compute non-perturbatively the renormalization constants of quark bilinears on the lattice in the quenched approximation at three values of the coupling beta=6/g_0^2=6.0,6.2,6.4 using both the Wilson and the tree-level improved SW-Clover fermion action. We perform a Renormalization Group analysis at the next-to-next-to-leading order and compute Renormalization Group invariant values for the constants. The results are applied to obtain a fully non-perturbative estimate of the vector and pseudoscalar decay constants.

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    In the minimal TMC scheme, one-loop nonsinglet quasi-PDFs separate into explicit cutoff (and boundary UV) counterterms plus a remainder that carries the collinear IR pole and finite matching kernel.

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