Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes

Apr 26, 2016
29 pages
Published in:
  • JHEP 01 (2017) 118
  • Published: Jan 26, 2017
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Abstract: (Springer)
We develop the boundary derivative expansion (BDE) formalism of fluid/gravity correspondence to nonconformal version through the compactified, nearextremal black D4-brane. We offer an explicit calculation of 9 second order transport coefficients, i.e., the τπ_{π} , τπ_{π}^{∗} , τΠ, λ1,2,3_{1,2,3} and ξ1,2,3_{1,2,3} for the strongly coupled, uncharged and nonconformal relativistic fluid which is the holographic dual of compactified, near extremal black D4-brane. We also show that the nonconformal fluid considered in this work is free of causal problem and admits the Haack-Yarom relation 4λ1_{1} − λ2_{2} = 2ητπ_{π} .
Note:
  • 41 pages and 4 tables
  • Holography and quark-gluon plasmas
  • AdS-CFT Correspondence
  • Gaugegravity correspondence
  • D-branes
  • expansion: derivative
  • fluid: relativistic
  • fluid/gravity correspondence
  • compactification
  • D-brane: 4
  • strong coupling