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Conformal Anomalies and the Gravitational Effective Action: The $TJJ$ Correlator for a Dirac Fermion
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abstract
We compute in linearized gravity all the contributions to the gravitational effective action due to a virtual Dirac fermion, related to the conformal anomaly. This requires, in perturbation theory, the identification of the gauge-gauge-graviton vertex off mass shell, involving the correlator of the energy-momentum tensor and two vector currents ($TJJ$), which is responsible for the generation of the gauge contributions to the conformal anomaly in gravity. We also present the anomalous effective action in the inverse mass of the fermion as in the Euler-Heisenberg case.
Forward citations
Cited by 3 Pith papers
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Effective scalaron--photon interaction in $f(R)$ gravity
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The Gravitational Form Factor of the Pion in Perturbative QCD with a Dilaton Interaction
Anomaly-induced dilaton-like corrections in the hard kernel significantly modify pion GFFs at large Q^{2} within a factorization approach using Sudakov resummation and a Gaussian TMD wave function.
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The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization
The trace anomaly cancels in A_π(Q²) but dominates the TJJ contribution to the pion trace form factor in a Sudakov-improved QCD factorization calculation matched to lattice data.
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