Adler-Bardeen Theorem for the Axial Anomaly and the First Moment of the Polarized Virtual Photon Structure Function

2007 ◽  
Author(s):  
Takahiro Ueda ◽  
Tsuneo Uematsu ◽  
Ken Sasaki
1993 ◽  
Vol 08 (04) ◽  
pp. 373-387 ◽  
Author(s):  
G.M. SHORE ◽  
G. VENEZIANO

The first moment of the polarized photon structure function [Formula: see text] is determined by the anomalous three-current axial-vector-vector (AVV) correlation function. Its dependence on the off-shell momentum κ2 of the target photon is a direct probe of the way chiral symmetry is realized in the AVV function. A careful account is given of the effect of different realizations of chiral symmetry on the AVV correlation function with special emphasis on the delicate chiral limit, where the occurrence of singularities in the invariant amplitudes makes the relation with the first moment of [Formula: see text] more subtle. The behavior of [Formula: see text] as κ2 is increased through the thresholds associated with the different quarks and leptons is described.


1996 ◽  
Vol 72 (1) ◽  
pp. 123-131
Author(s):  
Sun Myong Kim ◽  
Thomas F. Walsh

1992 ◽  
Vol 07 (24) ◽  
pp. 6039-6051 ◽  
Author(s):  
STEVEN D. BASS

We discuss the polarized photon structure function [Formula: see text] and focus on the first moment of [Formula: see text], where we explore the role of the axial QED and strong U(1) anomalies. Electromagnetic gauge invariance determines an exact sum rule for the first moment of [Formula: see text]. If we accept a recently proposed definition of “spin content” then we must also accept a polarized gluon component of Δgγ=2π/αs in the spin-one photon.


2009 ◽  
Author(s):  
Tsuneo Uematsu ◽  
Yoshio Kitadono ◽  
Ken Sasaki ◽  
Takahiro Ueda

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