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What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
Author(s) -
Morita T.,
Mandal G.
Publication year - 2012
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.201200019
Subject(s) - deconfinement , physics , quantum chromodynamics , phase transition , soliton , brane , phase (matter) , brane cosmology , holography , mathematical physics , particle physics , quantum electrodynamics , theoretical physics , quantum mechanics , nonlinear system
We study the gravity dual of four dimensional pure Yang‐Mills theory through D4 branes, as proposed by Witten (holographic QCD). In this holographic QCD, it has been widely believed that the confinement phase in the pure Yang‐Mills theory corresponds to the AdS D4 soliton in gravity and the deconfinement phase corresponds to the black D4 brane. We inspect this conjecture carefully and show that the correspondence between the black D4 brane and the deconfinement phase is not correct. Instead, by using a slightly different set up, we find an alternative gravity solution called “localized soliton”, which would be properly related to the deconfinement phase. In this case, the confinement/deconfinement transition is realized as a Gregory‐Laflamme type transition. We find that our proposal naturally explains several known properties of QCD.