Q2Evolution of Chiral-Odd Twist-3 DistributionshL(x,Q2)ande(x,Q2)in Large-NcQCD

Q2 Evolution of Chiral-Odd Twist-3 Distributions hL(x,Q2) and e(x,Q2) in Large-Nc QCD.

Scale dependence of the chiral - odd twist - 3 distributions h L ( x ) and e ( x )

Scale dependence of the chiral-odd twist-3 distributions h L (x) and e(x) Abstract We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions e(x) and h L (x) of the nucleon. We establish the connection between the evolution equations in light-cone position and light-cone fraction representations, which makes a correspondence between the non-local string o...

Q 2 dependence of chiral-odd twist-3 distribution e(x, Q 2)

We discuss the Q dependence of the chiral-odd twist-3 distribution e(x,Q). The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the anomalous dimension matrices for all the twist-3 distributions together with the known results for the other twist-3 distributions g2(x,Q ) and hL(x,Q ). We also have con...

The chirally-odd twist-3 distribution function ea(x) in the chiral quark-soliton model

The chirally-odd twist-3 nucleon distribution e(x) is studied in the large-Nc limit in the framework of the chiral quark-soliton model at a low normalization point of about 0.6 GeV. The remarkable result is that in the model e(x) contains a δ-function-type singularity at x = 0. The regular part of e(x) is found to be sizeable at the low scale of the model and in qualitative agreement with bag m...

The chirally-odd twist-3 distribution ea(x)

Properties of the nucleon twist-3 distribution function e(x) are reviewed. It is emphasized that the QCD equations of motion imply the existence of a δ-function at x = 0 in e(x), which gives rise to the pion-nucleon sigma-term. According to the resulting “practical” DIS sum rules the first and the second moment of e(x) vanish, a situation analogue to that of the pure twist-3 distribution functi...