Analog geometry in an expanding fluid from AdS/CFT perspective
arXiv:1410.0263 · doi:10.1016/j.physletb.2015.03.009
Abstract
The dynamics of an expanding hadron fluid at temperatures below the chiral transition is studied in the framework of AdS/CFT correspondence. We establish a correspondence between the asymptotic AdS geometry in the 4+1-dimensional bulk with the analog spacetime geometry on its 3+1 dimensional boundary with the background fluid undergoing a spherical Bjorken type expansion. The analog metric tensor on the boundary depends locally on the soft pion dispersion relation and the four-velocity of the fluid. The AdS/CFT correspondence provides a relation between the pion velocity and the critical temperature of the chiral phase transition.
16 pages, 2 figures, revised to match the published version, relation to static solutions clarified, the section on de Sitter boundary removed, results unchanged
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