engleski

Analog geometry in an expanding fluid from AdS/CFT perspective

The dynamics of an expanding hadron uid 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 the 4+1-dimensional bulk with the analog spacetime geometry on its 3+1 dimensional boundary with the background uid 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 uid. The AdS/CFT correspondence provides a relation between the pion velocity and the critical temperature of the chiral phase transition.

analogue gravity ; AdS/CFT correspondence ; chiral phase transition ; linear sigma model ; Bjorken expansion

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