Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-11
Nucl.Phys. B546 (1999) 235-278
Physics
High Energy Physics
High Energy Physics - Phenomenology
44 pages, plain TeX, 2 ps figures
Scientific paper
10.1016/S0550-3213(99)00061-9
The theory of the `proton spin' effect proposed in our earlier papers is extended to include the chiral SU(3) symmetry breaking and flavour mixing induced by non-vanishing quark masses in QCD. The theoretical basis is the derivation of exact, unified Goldberger-Treiman (GT) relations valid beyond the chiral limit. The observed suppression in the flavour singlet axial charge $a^0(Q^2)$ is explained by an anomalously small value for the slope of the singlet current correlation function $<0|T~\pl^\m J_{\m 5}^0 ~ \pl^\n J_{\n 5}^0 |0>$, a consequence of the screening of topological charge in the QCD vacuum. Numerical predictions are obtained by evaluating the current correlation functions using QCD spectral sum rules. The results, $a^0(Q^2) = 0.31 \pm 0.02$ and $\int dx ~g_1^p(x,Q^2) = 0.141 \pm 0.005$ (at $Q^2=10 \~\GV^2$), are in good agreement with current experimental data on the polarised proton structure function $g_1^p$.
Narison Stephan
Shore Graham M.
Veneziano Gabriele
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