Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality

Dec, 2007
17 pages
Published in:
  • Phys.Rev.D 77 (2008) 066014,
  • Phys.Rev.D 78 (2008) 089902 (erratum)
e-Print:
Report number:
  • KEK-TH-1209

Citations per year

200720122017202220250102030
Abstract: (arXiv)
We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from the AdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times) and we compute them for a number of supersymmetric gauge theories including the N=4 SYM. However, the relaxation times obtained from the "shear mode" do not agree with the ones from the "sound mode," which implies that the Israel-Stewart theory is not a sufficient framework to describe the gauge theory plasmas.
Note:
  • 20 pages, ReVTeX4; v3: the sound mode results for SAdS_{4,7} added, an early interpretation based only on the shear mode changed; v6: corrected solution in Appendix B
  • 11.25.Tq
  • 12.38.Mh
  • space-time: anti-de Sitter
  • field theory: conformal
  • model: hydrodynamics
  • gravitation
  • gauge field theory: U(1)
  • background field
  • gauge field theory: Yang-Mills
  • model: gas