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The Gravitational Form Factor of the Pion and Proton and the Conformal Anomaly
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abstract
We analyze the hard scattering amplitude of gravitational form factors (GFFs) of hadrons within QCD factorization at large momentum transfers, focusing on their conformal field theory (CFT) description. These form factors are key to studying quark and gluon angular momentum in hadrons, connected to Mellin moments of Deeply Virtual Compton Scattering (DVCS). The analysis uses diffeomorphism invariance and conformal symmetry in momentum space. A non-Abelian $TJJ$ 3-point function at $O(\alpha_s^2)$ reveals a dilaton interaction in the $t$-channel. We present a parameterization relevant for future DVCS/GFF experiments at the Electron-Ion Collider.
Forward citations
Cited by 2 Pith papers
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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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Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.
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