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Hadrons and QCD Instantons: a Bosonized View
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abstract
In a dilute system of instantons and antiinstantons, the U$_{\rm A}$(1) and scale anomalies are shown to be directly related to the bulk susceptibility and compressibility of the system. Using $1/N_c$ (where $N_c$ is the number of colors) as a book-keeping argument, mesonic, baryonic and gluonic correlators are worked out in p-space and Fourier transformed to x-space for a comparison with recently simulated correlators. The results are in overall agreement with simulations and lattice calculations, for distances up to 1.5 fm, despite the fact that some channels lack the necessary physical singularities. We analyze various space-like form factors of the nucleon and show that they are amenable to constituent quark form factors to leading order in $1/N_c$. Issues related to the lack of confinement in the model and its consequence on the various correlation functions and form factors are also discussed.
Forward citations
Cited by 3 Pith papers
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Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions
Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.
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Quark orbital angular momentum as a chiral magnetic effect
The calculation yields a large negative orbital angular momentum L_{u-d} from chiral magnetic effects that partially cancels the positive spin contribution and reduces total J_{u-d} to match lattice QCD.
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Anomalies, Topology, and Hadron Structure in QCD
A review unifying the QCD axial and trace anomalies with vacuum topology, arguing that the proton spin puzzle and the U(1)_A problem are both controlled by topological screening encoded in the susceptibility slope χ′(0).
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