Step scaling in coordinate space: running of the quark mass

2016/10/25 by Krzysztof Cichy, Cichy, Krzysztof, Karl Jansen +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat

paper · pdf · doi:10.48550/arxiv.1610.07801

7 pages, 2 figures, proceedings of LATTICE 2016 in Southampton

arxiv created 2016/10/25 · arxiv updated 2016/10/26

Abstract

We perform a benchmark study of the step scaling procedure for the ratios of renormalization constants extracted from position space correlation functions. We work in the quenched approximation and consider the pseudoscalar, scalar, vector and axial vector bilinears. The pseudoscalar/scalar cases allow us to obtain the non-perturbative running of the quark mass over a wide range of energy scales - from around 17 GeV to below 1.5 GeV - which agrees well with the 4-loop prediction of continuum perturbation theory. We find that step scaling is feasible in X-space and we discuss its advantages and potential problems.

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