Analog geometry in an expanding fluid from AdS/CFT perspective

Autor: Neven Bilić, Silvije Domazet, Dijana Tolić
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Physics Letters B, Vol 743, Iss , Pp 340-346 (2015)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2015.03.009
Popis: 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. Keywords: Analogue gravity, AdS/CFT correspondence, Chiral phase transition, Linear sigma model, Bjorken expansion
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