Scaling Dimensions in AdS/QCD and the Gluon Field Strength Propagator

TL;DR

This paper derives the scaling dimensions of boundary operators in AdS/QCD, especially the gluon field strength, and confirms their behavior matches lattice QCD data, enhancing understanding of gauge/gravity duality.

Contribution

It introduces a method to compute non-constant scaling dimensions in warped AdS/QCD and applies it to gluon operators, matching lattice results.

Findings

Computed gluon field strength correlator consistent with lattice data

Established the flow of anomalous dimensions under rescaling

Validated the functional form of scaling dimensions in warped AdS/QCD

Abstract

We derive the scaling dimension of antisymmetric tensor operators in the boundary theory of the AdS/CFT correspondence using a functional integral representation of the boundary-to-boundary propagators of their dual fields in the bulk. We then apply this technique to AdS/QCD in which the bulk metric is warped, resulting in non-constant scaling dimensions. In particular, we compute the two-point correlation function of gluon field strength operators, for which it is prerequisite to know the ow of the anomalous scaling dimension under rescaling. The results are in very good agreement with quenched lattice QCD data, thus confirming the functional form of the scaling dimension.