Ultraviolet complete model of largeNthermal QCD

Abstract

Many recent works on large $N$ holographic QCD in the planar limit have not considered UV completions, restricting exclusively toward analyzing the IR physics. Because of this, the UV problems like Landau poles and divergences of Wilson loops including instabilities at high temperatures have not been addressed. In some of our recent papers, we have discussed a possible UV completion, which is conformal in the UV and confining in the far IR, that avoids the Landau poles and the Wilson loop divergences. In this paper we give general field theoretic considerations of this including the complete renormalization group flow. We extend our UV complete model to study scenarios both above and below the deconfinement temperature and argue how phase transition in our model should be understood. Interestingly, because of the UV completion, subtle issues like instability owing to negative specific heat do not appear.