Holographic estimates of the deconfinement temperature

Abstract

The problem of self-consistent estimates of the deconfinement temperature T c in the framework of the bottom-up holographic approach to QCD is scrutinized. It is shown that the standard soft wall model gives T c for the planar gluodynamics around 260 MeV in a good agreement with the lattice data. The extensions of the soft wall model adjusted for descriptions of realistic meson spectra result in a broad range of the predictions. This uncertainty is related with a poor experimental information on the radially excited mesons.