Abstract

A family of deformed black branes is employed to examine the confinement/deconfinement phase transition in AdS/QCD. The holographic entanglement entropy (HEE) plays the role of the order parameter driving the confinement/deconfinement phase transition. The binding energy of quark-antiquark bound states and the critical length that makes a null variation of the HEE, together with the critical temperature separating the deconfined quark-gluon plasma to the confined hadronic phase, are discussed in the deformed black brane background, matching current experimental hadronic data.

Highlights

  • The deconfinement phase transition, above which quark bound states occupy a deconfined phase and one may observe individual quarks, has been not completely grounded onto the QCD framework yet

  • The holographic entanglement entropy (HEE) underlying AdS/QCD will be explored as an order parameter controlling the deconfinement phase transition, in a deformed black brane scenario

  • The binding energy of the qqbound state and the critical length that makes a null variation of the HEE, together with the critical temperature separating the deconfined quark-gluon plasma to the confined hadronic phase, are analyzed in the deformed black brane setup, matching current experimental hadronic data

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Summary

INTRODUCTION

The deconfinement phase transition, above which quark bound states occupy a deconfined phase and one may observe individual quarks, has been not completely grounded onto the QCD framework yet. The HEE underlying AdS/QCD will be explored as an order parameter controlling the deconfinement phase transition, in a deformed black brane scenario. The parameter that defines a family of deformed black branes will be shown to lie in a range that is stricter than the bound obtained by the shear viscosity-to-entropy density ratio This range will be derived when considering the HEE and the critical temperature at which the deconfinement phase transition occurs, matching current experimental data in QCD. The binding energy of the qqbound state and the critical length that makes a null variation of the HEE, together with the critical temperature separating the deconfined quark-gluon plasma to the confined hadronic phase, are analyzed in the deformed black brane setup, matching current experimental hadronic data.

DEFORMED BLACK BRANES
HOLOGRAPHIC ENTANGLEMENT ENTROPY AND DECONFINEMENT PHASE TRANSITION
CONCLUSIONS
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