Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD

TL;DR

This paper extends the AdS/QCD Soft-Wall model to include anomalous dimensions, establishing a link between scalar glueball masses and beta functions, and explores their phenomenological implications and infrared behaviors.

Contribution

It introduces a novel extension of the AdS/QCD Soft-Wall model incorporating QCD-like anomalous dimensions, connecting glueball spectroscopy with beta functions.

Findings

Relation between glueball masses and beta functions established

Identified beta functions with fixed points at finite coupling

Explored infrared behaviors of beta functions from lattice data fits

Abstract

An extended version of the AdS/QCD Soft-Wall model that incorporates QCD-like anomalous contributions to the dimensions of gauge theory operators is proposed. This exploratory approach leads to a relation between scalar glueball masses and beta functions. Using this relation, properties of the glueball mass spectroscopy that emerge from phenomenological beta functions proposed in the literature are investigated. The reverse problem is also considered: starting from a linear Regge trajectory which fits the lattice glueball masses, beta functions with different asymptotic infrared behaviours are found. Remarkably, some of them present a fixed point at finite coupling.