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The Chiral Anomaly and High-Energy Scattering in QCD

Alan R. White
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Abstract

Infra-red properties of the triangle anomaly and the ``anomaly pole'' are elaborated and applied to the study of high-energy scattering in QCD, when the gauge symmetry is partially broken to SU(2). It is shown that the chiral flavor anomaly provides a wee-gluon component for Goldstone bosons that combines with interactions due to the U(1) anomaly to produce an infra-red transverse momentum scaling divergence in scattering amplitudes. After the divergence is factorized out, as a wee-gluon condensate in the infinite momentum pion, the remaining physical amplitudes have confinement and chiral symmetry breaking. A lowest-order contribution to the pion scattering amplitude is calculated in detail. Although originating from very complicated diagrams, the amplitude has a remarkable (semi-)perturbative simplicity. The momentum structure is that of single gluon exchange but zero momentum quarks inject additional spin and color structure via anomaly interactions.

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Alan R. White. 2002-08-02. The Chiral Anomaly and High-Energy Scattering in QCD. https://doi.org/10.1103/physrevd.66.056007

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