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The U(1)_A Anomaly and QCD Phenomenology
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abstract
The role of the $U(1)_A$ anomaly in QCD phenomenology is reviewed, focusing on the relation between quark dynamics and gluon topology. Topics covered include a generalisation of the Witten-Veneziano formula for the mass of the $\eta'$, the determination of pseudoscalar meson decay constants, radiative pseudoscalar decays and the $U(1)_A$ Goldberger-Treiman relation. Sum rules are derived for the proton and photon structure functions $g_1^p$ and $g_1^\c$ measured in polarised deep-inelastic scattering. The first moment sum rule for $g_1^p$ (the `proton spin' problem) is confronted with new data from COMPASS and HERMES on the deuteron structure function and shown to be quantitatively explained in terms of topological charge screening. Proposals for experiments on semi-inclusive DIS and polarised two-photon physics at future $ep$ and high-luminosity $e^+ e^-$ colliders are discussed.
Forward citations
Cited by 2 Pith papers
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The topological susceptibility slope $\chi^\prime$ in the large-$N$ limit
First non-perturbative lattice determination of the Yang-Mills topological susceptibility slope χ' in the large-N limit using a novel algorithm to avoid topological freezing.
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The role of the chiral anomaly in polarized deeply inelastic scattering III: Wess-Zumino-Witten contributions and chiral Ward identities for finite quark mass
A worldline computation shows the QED anomaly-pole cancellation by the PVV triangle does not extend to QCD, and the eta-prime mechanism yields only a few percent finite-mass correction to the Shore-Veneziano relation ...
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