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Report number arXiv:2103.15440 ; CERN-TH-2021-041 ; MPP-2021-38
Title Renormalization of the topological charge density in QCD with dimensional regularization
Author(s) Lüscher, Martin (CERN ; U. Bern, AEC) ; Weisz, Peter (Munich, Max Planck Inst.)
Publication 2021-06-17
Imprint 2021-03-29
Number of pages 24
Note 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
In: Eur. Phys. J. C 81 (2021) 519
DOI 10.1140/epjc/s10052-021-09296-1 (publication)
Subject category hep-lat ; Particle Physics - Lattice ; hep-ph ; Particle Physics - Phenomenology
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.
Copyright/License publication: © 2021-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³
preprint: (License: arXiv nonexclusive-distrib 1.0)

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 Zapis kreiran 2021-03-31, zadnja izmjena 2023-01-31


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