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arXiv · hep-lat/0007002

Renormalization and O(a)-improvement of the static-light axial current

Martin Kurth·Rainer Sommer
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Abstract

A systematic treatment of O(a)-improvement in lattice theories with static quarks is presented. The Schrödinger functional is discussed and a renormalization condition for the static axial current in the SF-scheme is introduced. Its relation to other schemes is computed to 1-loop order and the 2-loop anomalous dimension is derived. In finite volume renormalization schemes such as the SF-scheme, the renormalization scale dependence of the renormalized quantities is described by the step scaling function which can be computed by MC- simulations. We evaluate its lattice spacing effects in perturbation theory.

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Martin Kurth, Rainer Sommer. 2000-12-06. Renormalization and O(a)-improvement of the static-light axial current. https://doi.org/10.1016/s0550-3213(00)00750-1

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