Correlator of topological charge densities at low $Q^2$ in QCD: connection with proton spin problem
| dc.creator | Ioffe, B. L. | |
| dc.date | 1999-01-05 | |
| dc.date.accessioned | 2026-07-07T04:06:09Z | |
| dc.date.available | 2026-07-07T04:06:09Z | |
| dc.description | Vacuum correlator of topological charge densities $χ(q^2)$ at low $q^2$ in QCD is discussed: its value $χ(0)$ and first derivative $χ'(0)$ at $q^2=0$ and the contributions of pseudoscalar quasi-Goldstone bosons to $χ(q^2)$ at low $q^2$. The QCD sum rule \cite{1}, giving the connection of $χ'(0)$ (for massless quarks) with the part of the proton spin $Σ$, carried by $u,d,s$ quarks, is presented. From the requirement of selfconsistancy of the sum rule the values of $χ'(0)$ and $Σ$ were found. The same value of $χ'(0)$ follows also from the experimental data on $Σ$. The contributions of $π$ and $η$ to $χ(q^2)$ are calculated basing on low energy theorems. In such calculation the $π-η$ mixing, expressed in terms of quark mass ratios is of importance. | |
| dc.description | V. Gribov Memorial Volume, Heavy Physics, Academiai Kiado, Budapest, in press, 20 pages, LaTeX 2e, (file hip-atrc.sty is enclosed), 1 eps figure included using epsf.sty | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9901223 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9901223 | |
| dc.identifier | Heavy Ion Phys. 9 (1999) 29-48 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/48659 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Correlator of topological charge densities at low $Q^2$ in QCD: connection with proton spin problem | |
| dc.type | text |