Speaker
Description
We present a unified framework for chiral, gravitational, and conformal anomaly sum rules using momentum-space conformal field theory and dispersive techniques. We show that the longitudinal sectors of the one-loop anomaly correlators (AVV, TTA, and TJJ) obey universal area-law sum rules, governing the spectral flow between anomaly poles and the continuum. This elucidates how massless anomaly poles emerge in the conformal limit and how they are replaced by dispersive strength at finite momentum. We perform the perturbative QCD analysis of the non-Abelian TJJ vertex at one loop, extracting the conformal trace-anomaly form factor and its spectral density. Within the factorization formalism, this provides a perturbative input for dispersive studies of hadronic matrix elements, relevant to the high-momentum-transfer behavior of the pion and proton gravitational form factors and their possible contribution to the Ji sum rule.
