AdS/CFT and the Double-Copy: A Unified Perspective Across Various Phenomenological Models

TL;DR

The paper addresses model dependence in QCD matter across IR to UV and proposes a unified framework that connects gauge theories and gravity via the double copy and AdS/CFT. It develops a two-pronged approach: (i) a double-copy formulation linking YM fields, CK duality, and classical observables (including AdS spaces), and (ii) an AdS/CFT-based correspondence that uses boundary-to-bulk propagators and dilaton-modified form factors to relate bulk gravity to boundary CFT data. A novel bundle- and kernel-based formulation introduces a Kähler-manifold kernel and product operators to realize a model-independent unification across backgrounds, with running couplings encoded by dilatons and warp factors. This framework enables translating insights between QCD-like effective models and gravity, producing predictions for correlation functions, form factors, and Hamiltonians in strongly coupled quantum many-body systems, while preserving model independence across background spacetime corrections.

Abstract

This study utilizes theoretical tools including the double copy relation and AdS/CFT correspondence. Applying analogies, we establish a system to discuss the associations and equivalence relations among QCD, QED, and various (mixed) gauge field theory based quantum many-body effective models. By employing mathematical techniques on the background spacetime, these relations are extended to extreme regimes while ensuring model independence.