Axion-like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect

• DOI: 10.48550/arxiv.2403.15641
• Publication Date: 2024-03-22
• Authors: Claudio Corianò; Mario Cretì; Stefano Lionetti; Dario Melle; Riccardo Tommasi
• Keywords: Anomaly (physics); Faraday cage

We discuss fundamental aspects of chiral anomaly-driven interactions in conformal field theory (CFT) four spacetime dimensions. They find application very general contexts, from early universe plasma to topological condensed matter. outline the key shared characteristics these interactions, specifically addressing case anomalies, both for vector currents and gravitons. In materials, gravitational anomaly is generated by thermal gradients via (Tolman-Ehrenfest) Luttinger relation. CFT framework, a nonlocal effective action, derived through perturbation theory, indicates that interaction mediated an excitation form pole, which appears limit vertex. To illustrate this, we demonstrate how Ward identities (CWIs) momentum space allow us reconstruct entire its longitudinal transverse sectors just inclusion pole sector. Both are coupled amplitudes with intermediate fermion or bilinear Chern-Simons current photons. presence mass corrections, transforms into cut, but absorption amplitude axial-vector channel satisfies mass-independent sum rules related any interaction. The detection axion-like/quasiparticle materials may rely on combined investigation rules, along measurement angle rotation plane polarization incident light when subjected perturbation. This phenomenon serves as analogue similar one ordinary axion physics, axion-like condensate, rederive using electrodynamics.