Speaker
A. L. Kataev
(Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia)
Description
Using operator-product expansion approach for the triangle
diagram of Axial-Vector-Vector currents symmetry I derive the singlet variant of the
Crewther
relation, which is valid in the conformal -invariant limit
of perturbative approach. I demonstrate that in the conformal-invariant
limit of U(1)-model the non-singlet coefficient function of Bjorken and Ellis-Jaffe sum
rule identically coincide with the coefficient function of singlet
contribution to Ellis-Jaffe sum rules in all orders of perturbation theory. The discussions
of the possible generalizations to the conformal-invariant limit of SU(N_c) theory is
presented.
Author
A. L. Kataev
(Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia)
