Coulomb Artifacts and Breakdown of Perturbative Matching in Lattice NRQCD
A. A. Penin, A. Rayyan
TL;DR
This paper investigates the limitations of perturbative matching in lattice NRQCD for Coulomb artifacts, revealing a breakdown that causes systematic errors in heavy quarkonium predictions and proposing a solution via Schrödinger matching.
Contribution
It demonstrates the breakdown of perturbative matching in lattice NRQCD due to Coulomb artifacts and introduces a Schrödinger matching approach to address this issue.
Findings
Perturbative matching fails for Coulomb artifacts in lattice NRQCD.
The breakdown causes significant systematic errors in heavy quarkonium spectrum predictions.
Schrödinger matching can effectively resolve the problem.
Abstract
By studying an explicit analytical solution of the Coulomb problem on the lattice we demonstrate a breakdown of perturbative matching for the description of the Coulomb artifacts in lattice NRQCD, which leads to a large systematic error in the predictions for the heavy quarkonium spectrum. The breakdown is a result of a fine interplay between the short and long distance effects specific to the lattice regularization of NRQCD. We show how the problem can be solved within the Schrodinger matching procedure.
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