Three-Field Potential for Soft-Wall AdS/QCD

TL;DR

This paper develops a three-field scalar potential model within soft-wall AdS/QCD that successfully reproduces linear meson trajectories and correct mass splittings, advancing the holographic understanding of QCD.

Contribution

It introduces a novel three-field scalar potential model that aligns background fields with AdS/CFT boundary conditions and reproduces key meson spectral features.

Findings

Reproduces linear Regge trajectories of mesons.

Achieves correct mass-splitting between vector and axial-vector mesons.

Provides a consistent background field setup for AdS/QCD models.

Abstract

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Soft-wall AdS/QCD models have reproduced the linear Regge trajectories of meson spectra by including background dilaton and chiral condensate fields. Efforts to derive these background fields from a scalar potential have so far been unsuccessful in satisfying the UV boundary conditions set by the AdS/CFT dictionary while reproducing the IR behavior needed to obtain the correct meson spectra. We present work toward a three-field scalar potential that includes the dilaton field and the chiral and glueball condensates. This model is consistent with background fields that yield linear trajectories for the meson spectra and the correct mass-splitting between the vector and axial-vector mesons.