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Axial anomaly as a collective effect of meson spectrum

2010/09/30 by Yaroslav Klopot, Yaroslav N. Klopot, А. Г. Оганесян +3 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Anomaly (physics) #Classical mechanics #Factorization #High-Energy Particle Collisions Research #Kinematics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Photon #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Spectrum (functional analysis) #Theoretical physics #Virtual particle #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.10.039

published as Phys.Lett.B695:130-135,2011 · 12 pages, 3 figures, typos corrected, published in Phys. Lett. B

openalex publication_date 2010/10/23 · arxiv created 2010/12/20 · arxiv updated 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 experimental data, that the relative correction to continuum is quite small, and small correction to continuum can dramatically change the pion form factor.

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