Antisymmetric tensors in holographic approaches to QCD

TL;DR

This paper investigates how holographic models based on the gauge/string duality can accurately describe tensor current correlators in QCD, revealing constraints on model boundary conditions and insights into chiral symmetry breaking.

Contribution

It provides a detailed analysis of antisymmetric tensor fields in holographic QCD, establishing constraints on boundary conditions and exploring phenomenological implications.

Findings

Correlators with tensor currents are highly sensitive to chiral symmetry breaking.

Strong constraints on infrared boundary conditions are derived from matching to QCD.

Dilatonic backgrounds are incompatible with the described correlator set.

Abstract

We study real (massive) antisymmetric tensors of rank two in holographic models of QCD based on the gauge/string duality. Our aim is to understand in detail how the AdS/CFT correspondence describes correlators with tensor currents in QCD. To this end we study a set of bootstrapped correlators with spin-1 vector and tensor currents, imposing matching to QCD at the partonic level. We show that a consistent description of this set of correlators yields a very predictive picture. For instance, it imposes strong constraints on infrared boundary conditions and precludes the introduction of dilatonic backgrounds as a mechanism to achieve linear confinement. Additionally, correlators with tensor currents turn out to be especially sensitive to chiral symmetry breaking, thus offering an ideal testing ground for genuine QCD effects. Several phenomenological consequences are explored, such as the nontrivial interplay between $1^{+-}$ states and conventional $1^{--}$ vector mesons.