Početna stranica > Renormalization of the topological charge density in QCD with dimensional regularization |
Article | |
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) |