Fixed mass and scaling sum rules: Generalized truncation and current algebra constraints on Regge residues

Sum rules , Regge trajectories , and relativistic quark models

We present an analysis which uses Regge structure and the Bjorken and Voloshin HQET sum rules to restrict the choice of parameters of a relativistic quark model.

On Generalized Sum Rules for Jacobi Matrices

This work is in a stream (see e.g. [4], [8], [10], [11], [7]) initiated by a paper of Killip and Simon [9], an earlier paper [5] also should be mentioned here. Using methods of Functional Analysis and the classical Szegö Theorem we prove sum rule identities in a very general form. Then, we apply the result to obtain new asymptotics for orthonormal polynomials.

Sum Rules and Positivity Constraints on Nucleon Spin Structure

Abstract. The spin structure of nucleon at twist 2 and 3 levels is analyzed. The contribution of quark and gluon spins to nucleon spin are Lorentz invariant, while it is not sure for orbital angular momentum. The conserved fractional moments of transversity distribution are considered. The scenario of decoupled total angular momentum, determined predominantly by the unpolarized scattering, is d...

Sum Rules from the Algebra of Fields

QCD radiative and power corrections and Generalized GDH Sum Rules

We extend the earlier suggested QCD-motivated model for the Q-dependence of the generalized Gerasimov-Drell-Hearn (GDH) sum rule which assumes the smooth dependence of the structure function gT , while the sharp dependence is due to the g2 contribution and is described by the elastic part of the BurkhardtCottingham sum rule. The model successfully predicts the low crossing point for the proton ...