https://doi.org/10.1140/epjc/s10052-021-09296-1
Regular Article - Theoretical Physics
Renormalization of the topological charge density in QCD with dimensional regularization
1
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
2
Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Sidlerstrasse 5, 3012, Bern, Switzerland
3
Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany
Received:
12
April
2021
Accepted:
27
May
2021
Published online:
17
June
2021
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.
© The Author(s) 2021
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