A holographic relation between the deconfinement temperature and gluon condensate

Abstract

We derive a holographic prediction of the deconfinement temperature $T_c$ at vanishing chemical potential within a simplest AdS/QCD model with dynamical dilaton. Our analysis leads to a linear relation between $T_c^4$ and the gluon condensate. After normalizing this relation to the lattice data for $SU(3)$ pure gauge theory, the standard phenomenological value of gluon condensate from QCD sum rules leads to the prediction $T_c=156$ MeV which is in a perfect agreement with the modern lattice results and freeze-out temperature measured by the ALICE Collaboration.

arXiv comment11 pages, discussions are extended, matches the published version

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Cited by in corpus (5)

• Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD
• Deconfinement Temperature of Rotating QGP at Intermediate Coupling from $\mathcal{M}$-Theory
• Towards a theory of bottom-up holographic models for linear Regge trajectories of light mesons
• Gravitational waves from holographic QCD phase transition with gluon condensate
• The case of equivalence of low and high energy constraints on Regge vector spectrum in AdS/QCD