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Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice

B. Alles·M. D'Elia·A. Di Giacomo·C. Pica
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Abstract

A Ginsparg-Wilson based calibration of the topological charge is used to calculate the renormalization constants which appear in the field-theoretical determination of the topological susceptibility on the lattice. A systematic comparison is made with calculations based on cooling. The two methods agree within present statistical errors (3%-4%). We also discuss the independence of the multiplicative renormalization constant Z from the background topological charge used to determine it.

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B. Alles, M. D'Elia, A. Di Giacomo, C. Pica. 2006-10-18. Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice. https://doi.org/10.1103/physrevd.74.094503

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