Speaker
Description
Axion-like interactions are characterised by an off-shell effective action manifesting the exchange of anomaly poles in chiral and gravitational correlators. We examine sum rules in JJJA (axial-vector/vector-vector-vector) and JATT (axial-vector/stress-energy tensor) correlators, highlighting the transition of anomaly poles to branch cuts beyond the conformal limit. Conformal Ward identities constrain longitudinal and transverse sectors, with spectral density flows shifting the continuum to the massless anomaly pole. For massless fermions, anomaly and particle poles align only on-shell, with no particle pole for off-shell vector lines or massive fermions. High-energy interactions remain pole-dominated, with light-cone interactions described by a local action involving pseudoscalar fields entangled on the light-cone. These findings apply both to axion-like particles and analog systems, where thermal gradients and chiral chemical potentials generate gravitational and chiral gauge interactions.