arXiv subjects
Publications and source records attributed to A. V. Radyushkin.
We use local quark-hadron duality to estimate the purely nonperturbative soft contribution to the $γ^* p \to Δ$ form factors. Our results are in agreement with existing experimental data. We predict that the ratio $G_E^*(Q^2)/G_M^*(Q^2)$ is small for all accessible $Q^2$, in contrast to the pQCD expectations that $G_E^*(Q^2) \to -G_M^*(Q^2)$.
We extend the QCD sum rule analysis of the γ^*γ^* -->π^o form factor into the region where one of the photons has small virtuality: q^2 << Q^2 > 1 GeV^2. In this kinematics, one should perform an additional factorization of short- and long-distance contributions. The extra long-distance sensitivity of the three-point amplitude is described by two-point correlators (bilocals), and the low-momentum dependence of the correlators involving composite operators of two lowest twists is extracted from auxiliary QCD sum rules. Our estimates for the form factor at q^2=0, Q^2 > 1 1 GeV^2 are in good agreement with existing experimental data.
We use local quark-hadron duality to estimate the purely nonperturbative soft contribution to the $γ^*p\to Δ$ form factors. Our results are in agreement with existing experimental data. We predict that the ratio $G_E^*(Q^2)/G_M^*(Q^2)$ is small for all accessible $Q^2$, in contrast to the pQCD expectations that $G_E^*(Q^2)\to -G_M^*(Q^2)$.
It is shown that, in QCD, the same universal function $Γ_{cusp}(\vartheta, α_\s)$ determines the infrared behaviour of the on-shell quark form factor, the velocity-dependent anomalous dimension in the heavy quark effective field theory (HQET) and the renormalization properties of the vacuum averaged Wilson lines with a cusp. It is demonstrated that a combined use of the methods developed in the relevant different branches of quantum field theory essentially facilitates the all-order study of the asymptotic and analytic properties of this function.