Large-$N_F$ expansion and renormalons in correlations of scalar quark currents and Bjorken sum rule

by Andrei Kataev (INR, Moscow)

Friday 27 Sept 2002, 14:00 → 15:00 Europe/Zurich

60/6-002 (CERN)

The results of applications of large-$N_f$ expansion for the correlator of scalar quark currents, obtained in collaboration with D.J.Broadhurst and C.J.Maxwell, are presented. The direct calculations indicate the proper choice of the dispersion relation for the two-point function of the quark scalar currents. A similar analysis, made recently in collaboration with D.J. Broadhurt for the Bjorken unpolarized sum rule of $nu N$ deep-inelastic scattering clarifies the origin of similarity of the perturbative series for both unpolarized and polarized Bjorken sum rules. The application of the naive non-Abelianization anzats is considered in all three cases.

Note: Please note the unusual room.