Non-perturbative renormalization of lattice four-fermion operators without power subtractions
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Non-perturbative renormalization of lattice four-fermion operators without power subtractions

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Non-perturbative renormalization of lattice four-fermion operators without power subtractions

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Donini, Andrea; Giménez Gómez, Vicente; Martinelli, Guido; Talevi, Mauro; Vladikas, A.
This document is a artículoDate1999

Este documento está disponible también en : http://hdl.handle.net/10550/39002
A general nonperturbative analysis of the renormalization properties of Delta I = 3/2 four-fermion operators in the framework of lattice regularization with Wilson fermions is presented. We discuss the nonperturbative determination of the operator renormalization constants in the lattice regularization independent (RI or MOM) scheme. We also discuss the determination of the finite lattice subtraction coefficients from Ward identities. We prove that, at large external virtualities, the determination of the lattice mixing coefficients, obtained using the RI renormalization scheme, is equivalent to that based on Ward identities, in the continuum and chiral limits. As a feasibility study of our method, we compute the mixing matrix at several renormalization scales, for three Values of the lattice coupling beta, using the Wilson and tree-level improved SW-Clover actions.

    Donini, Andrea Giménez Gómez, Vicente Martinelli, G. Talevi, Mauro Vladikas, A. 1999 Non-perturbative renormalization of lattice four-fermion operators without power subtractions European Physical Journal C 10 1 121 142
http://dx.doi.org/10.1007/s100529900097

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