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arXiv · 1410.0263

Analog geometry in an expanding fluid from AdS/CFT perspective

Neven Bilić·Silvije Domazet·Dijana Tolić
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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.

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Neven Bilić, Silvije Domazet, Dijana Tolić. 2015-03-24. Analog geometry in an expanding fluid from AdS/CFT perspective. https://doi.org/10.1016/j.physletb.2015.03.009

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