It is shown that a consistent treatment of the axial anomaly leads to an explicit cancellation between the the infrared and ultraviolet contributions to the flavor singlet axial charge. This result is a consequence of the simultaneous crossing of the zero point energy and the ultraviolet cut-off by quark levels of defined chirality from the vacuum in the presence of gluon fields. Based on this consideration we give the arguments in favor of a large violation of the Ellis-Jaffe sum rule by predicting the vanishing of the flavor singlet axial charge in a plausible scenario. From this result the value of the gluon polarization is estimated by using the Kühn-Zakharov value for the matrix element of the axial anomaly.
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© 1999 American Institute of Physics.
1999
American Institute of Physics
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