QCD-Instantons and Conformal Space-Time Inversion Symmetry
| dc.creator | Klammer, D. | |
| dc.creator | Schrempp, F. | |
| dc.date | 2008-04-29 | |
| dc.date.accessioned | 2026-07-07T12:38:37Z | |
| dc.date.available | 2026-07-07T12:38:37Z | |
| dc.description | In this paper, we explore the appealing possibility that the strong suppression of large-size QCD instantons - as evident from lattice data - is due to a surviving conformal space-time inversion symmetry. This symmetry is both suggested from the striking invariance of high-quality lattice data for the instanton size distribution under inversion of the instanton size rho --> <rho>^2 / rho and from the known validity of space-time inversion symmetry in the classical instanton sector. We project the instanton calculus onto the four-dimensional surface of a five-dimensional sphere via conformal stereographic mapping, before investigating conformal inversion. This projection to a compact, curved geometry is both to avoid the occurence of divergences and to introduce the average instanton size <rho> from the lattice data as a new length scale. The average instanton size is identified with the radius b of this 5d-sphere and acts as the conformal inversion radius. For b = <rho>, our corresponding results are almost perfectly symmetric under space-time inversion and in good qualitative agreement with the lattice data. For rho / b --> 0, we recover the familiar results of instanton perturbation theory in flat 4d-space. Moreover, we illustrate that a (weakly broken) conformal inversion symmetry would have significant consequences for QCD beyond instantons. As a further successful test for inversion symmetry, we present striking implications for another instanton dominated lattice observable, the chirality-flip ratio in the QCD vacuum. | |
| dc.description | 24 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0804.4573 | |
| dc.identifier | http://arxiv.org/abs/0804.4573 | |
| dc.identifier | JHEP 0806:098,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/06/098 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218822 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | QCD-Instantons and Conformal Space-Time Inversion Symmetry | |
| dc.type | text |