Gauge/Gravity Duality and Strongly Coupled Light-Front Dynamics

TL;DR

This paper establishes a correspondence between light-front quantized gauge theories and a dual gravity model in AdS space, providing a new approach to understanding strongly coupled QCD and hadron structure.

Contribution

It introduces light-front holography as a novel duality linking gauge theories and gravity, explicitly incorporating hadron internal structure and angular momentum.

Findings

Derived a light-front Hamiltonian from AdS space

Mapped transition amplitudes between AdS and physical space

Included higher Fock-states for detailed form factor analysis

Abstract

We find a correspondence between semiclassical gauge theories quantized on the light-front and a dual gravity model in anti-de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence -- light-front holography -- leads to a light-front Hamiltonian and relativistic bound-state wave equations in terms of an invariant impact variable $\zeta$ which measures the separation of the quark and gluonic constituents within the hadron at equal light-front time. Light-front holography also allows a precise mapping of transition amplitudes from AdS to physical space-time. In contrast with the usual AdS/QCD framework, the internal structure of hadrons is explicitly introduced in the gauge/gravity correspondence and the angular momentum of the constituents plays a key role. We also discuss how to introduce higher Fock-states in the correspondence as well as their relevance for describing the detailed structure of space and time-like form factors.