Abstract
In this investigation an holographic description of the deconfined phase transition of scalar and tensor glueballs is presented within the so called hard-wall model. The spectra of these bound states of gluons have been calculated from the linearized Einstein equations for a graviton propagating from a thermal AdS_5 space to an AdS Black-Hole. In this framework, the deconfined phase is reached via a two steps mechanism. We propose that the transition between the AdS thermal sector to the BH is described via a first order phase transition, with discontinuous masses at the critical temperature, which has been determined by Herzog’s method of regulating the free energy densities. Then, the glueball masses diverge with increasing T in the BH phase and thus lead to deconfined states à la Hagedorn.
Highlights
A successful strategy for applying the AdS/CFT correspondence and holography [1, 2] to hadron physics is the so-called bottom-up approach
Since we have proposed that the scalar and tensor glueball spectrum is associated to the graviton of the theory [15, 18], it is natural to generalize this association to the graviton propagating in a black-hole (BH) space
We recall that much research has been carried out to determine the deconfinement temperature and the behaviour of the glueball and meson spectra after the phase transition [19, 20, 21]
Summary
A successful strategy for applying the AdS/CFT correspondence and holography [1, 2] to hadron physics is the so-called bottom-up approach In this framework, one starts from some non perturbative features of QCD and attempts to construct its five-dimensional holographic dual. One implements duality in nearly conformal conditions defining QCD on the four dimensional boundary and introducing a bulk space which is a slice of AdS5 whose size is related to z0 ∼ 1/ΛQCD [3, 4, 5, 6, 7] This is the so called hard-wall (HW) approximation.
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