Perturbative calculation of improvement coefficients to O(g2a) for bilinear quark operators in lattice QCD

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Abstract

We calculate the O(g2a) mixing coefficients of bilinear quark operators in lattice QCD using a standard perturbative evaluation of on-shell Green's functions. Our results for the plaquette gluon action are in agreement with those previously obtained with the Schrödinger functional method. The coefficients are also calculated for a class of improved gluon actions having six-link terms.

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Taniguchi, Y., & Ukawa, A. (1998). Perturbative calculation of improvement coefficients to O(g2a) for bilinear quark operators in lattice QCD. Physical Review D - Particles, Fields, Gravitation and Cosmology, 58(11), 1145031–1145038. https://doi.org/10.1103/PhysRevD.58.114503

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