Step scaling in coordinate space: running of the quark mass
High Energy Physics - Lattice
2016-10-26 v1
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.
Keywords
Cite
@article{arxiv.1610.07801,
title = {Step scaling in coordinate space: running of the quark mass},
author = {Krzysztof Cichy and Karl Jansen and Piotr Korcyl},
journal= {arXiv preprint arXiv:1610.07801},
year = {2016}
}
Comments
7 pages, 2 figures, proceedings of LATTICE 2016 in Southampton