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.

11 pages, discussions are extended, matches the published version

References in corpus (4)

• The equation of state in (2+1)-flavor QCD
• Linear Confinement and AdS/QCD
• A Holographic Prediction of the Deconfinement Temperature
• Holographic Estimates of the Deconfinement Temperature

Cited by in corpus (1)

• Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD