Non-perturbative improvement and renormalization of lattice operators

Details Non-perturbative improvement and renormalization of lattice operators Non-perturbative improvement and renormalization of lattice operators

1997-10-08

arxiv.org/abs/hep-lat/9710034v1

Nucl.Phys.Proc.Suppl.63:871-873,1998

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Latex, 2 figures, epsf.sty and espcrc2.sty needed. Talk given at Lattice97

Scientific paper

10.1016/S0920-5632(97)00925-0

The Alpha Collaboration has proposed an optimal value for c_SW in the Sheikholeslami-Wohlert action, chosen to remove O(a) effects. To measure hadronic matrix elements to the same accuracy we need a method of finding O(a) improved operators, and their renormalization constants. We determine the Z factors by a non-perturbative method, measuring the matrix elements for single quark states propagating through gauge fields in the Landau gauge. The data show large effects coming from chiral symmetry breaking. This allows us to find the improvement coefficients too, by requiring that the amount of chiral symmetry breaking agrees with that predicted by the chiral Ward identities.

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