Renormalization of the topological charge density in QCD with dimensional regularization
High Energy Physics - Phenomenology
2021-06-22 v4 High Energy Physics - Lattice
Abstract
To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora--Zumino chain of descent equations.
Cite
@article{arxiv.2103.15440,
title = {Renormalization of the topological charge density in QCD with dimensional regularization},
author = {Martin Lüscher and Peter Weisz},
journal= {arXiv preprint arXiv:2103.15440},
year = {2021}
}
Comments
Plain TeX source, 24 pages, no figures; v2: minor corrections in eqs.(5.14) and (6.1); v3: added reference, version accepted for publication; v4: further typos corrected