Dilaton in a soft-wall holographic approach to mesons and baryons

TL;DR

This paper presents a holographic soft-wall model for mesons and baryons that incorporates confinement via a background dilaton field, showing the equivalence of different dilaton profiles and discussing implications for hadronic spectra.

Contribution

It introduces a flexible soft-wall holographic model with adjustable quantum numbers and demonstrates the equivalence of positive and negative dilaton profiles through a transformation.

Findings

Positive and negative dilaton profiles are equivalent via a field transformation.

The model describes hadronic mass spectra with broken conformal invariance.

Discussion on the implications of dilaton sign choices in soft-wall models.

Abstract

We discuss a holographic soft-wall model developed for the description of mesons and baryons with adjustable quantum numbers n, J, L, S. This approach is based on an action which describes hadrons with broken conformal invariance and which incorporates confinement through the presence of a background dilaton field. We show that in the case of the bound-state problem (hadronic mass spectrum) two versions of the model with a positive and negative dilaton profile are equivalent to each other by a special transformation of the bulk field. We also comment on recent works which discuss the dilaton sign in the context of soft-wall approaches.