On the gluon operator effective potential in holographic Yang-Mills theory

TL;DR

This paper uses holographic methods to compute the effective potential for scalar glueball operators in Yang-Mills theory, exploring scheme ambiguities and applying results to a QCD model to analyze glueball condensates.

Contribution

It introduces three definitions of the scalar glueball operator and calculates their effective potentials within a holographic framework, addressing scheme ambiguities and connecting to previous conformal anomaly approaches.

Findings

Computed effective potentials for three scalar glueball operators

Analyzed scheme ambiguities in the holographic effective potential

Applied results to the Improved Holographic QCD model to evaluate glueball condensates

Abstract

The holographic formalism is applied to the calculation of the effective potential for the scalar glueball operator. Three different versions of this operator are defined, and for each we compute the associated effective potential and discuss its properties and scheme ambiguities. Contact is made to earlier attempts to guess this effective potential from the conformal anomaly. We apply our results to the Improved Holographic QCD model calculating the glueball condensate.