Axial anomaly as a collective effect of meson spectrum
High Energy Physics - Phenomenology
2010-12-23 v4 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
We study the transition form factors of the light mesons in the kinematics, where one photon is real and other is virtual. Using the dispersive approach to axial anomaly we show that the axial anomaly in this case reveals itself as a collective effect of meson spectrum. This allows us to get the relation between possible corrections to continuum and to lower states within QCD method which does not rely on factorization hypothesis. We show, relying on the recent data of BaBar Collaboration, that the relative correction to continuum is quite small, and small correction to continuum can dramatically change the pion form factor.
Cite
@article{arxiv.1009.1120,
title = {Axial anomaly as a collective effect of meson spectrum},
author = {Yaroslav N. Klopot and Armen G. Oganesian and Oleg V. Teryaev},
journal= {arXiv preprint arXiv:1009.1120},
year = {2010}
}
Comments
12 pages, 3 figures, typos corrected, published in Phys. Lett. B