2008

A note on causal hydrodynamics for M-theory branes

Natsuume, Makoto, Okamura, Takashi

Understand

We obtain new transport coefficients of causal hydrodynamics for the M2 and the M5-brane using a Kubo-like formula proposed by Baier, Romatschke, Son, Starinets, and Stephanov (arXiv:0712.2451 [hep-th]).

The relaxation times agree with the ones obtained from the "sound mode" in our paper (arXiv:0712.2916 [hep-th]).

Built on

W. Israel, “Nonstationary Irreversible Thermodynamics: A Causal Relativistic Theory,” Annals Phys. 100
1976
Earlier work this paper cites.
W. Israel and J. M. Stewart, “Transient relativistic thermodynamics and kinetic theory,” Annals Phys. 118
1979
Earlier work this paper cites.
R. Emparan, C. V. Johnson and R. C. Myers, “Surface terms as counterterms in the AdS/CFT correspondence,” Phys. Rev. D 60
1999
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, “From AdS/CFT correspondence to hydrodynamics,” JHEP 0209
2002
Earlier work this paper cites.

Similar

G. Policastro, D. T. Son and A. O. Starinets, “From AdS/CFT correspondence to hydrodynamics. II: Sound waves,” JHEP 0212
2002
Cited alongside, same era.
C. P. Herzog, “The hydrodynamics of M-theory,” JHEP 0212
2002
Cited alongside, same era.
D. T. Son and A. O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209
Original
2002
Cited alongside, same era.
M. Natsuume, “String theory and quark-gluon plasma,” arXiv:hep-ph/0701201
Cited in the paper.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets and M. A. Stephanov, “Relativistic viscous hydrodynamics, conformal invariance, and holography,” arXiv:0712.2451 [hep-th]
Original
Cited in the paper.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” arXiv:0712.2456 [hep-th]
Original
Cited in the paper.
M. Natsuume and T. Okamura, “Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality,” arXiv:0712.2916 [hep-th]
Original
Cited in the paper.
M. Natsuume and T. Okamura, “Comment on ‘Viscous hydrodynamics relaxation time from AdS/CFT correspondence’,” arXiv:0712.2917 [hep-th]
Original
Cited in the paper.
M. Natsuume, “String theory implications on causal hydrodynamics,” arXiv:0807.1394 [nucl-th]
Original
Cited in the paper.
I. Papadimitriou and K. Skenderis, “AdS/CFT correspondence and geometry,” arXiv:hep-th/0404176
Cited in the paper.

Then

C. P. Herzog, “The sound of M-theory,” Phys. Rev. D 68
2003
Later among the works it cites.
M. P. Heller and R. A. Janik, “Viscous hydrodynamics relaxation time from AdS/CFT,” Phys. Rev. D 76
2007
Later among the works it cites.
P. Benincasa, A. Buchel, M. P. Heller and R. A. Janik, “On the supergravity description of boost invariant conformal plasma at strong coupling,” arXiv:0712.2025 [hep-th]
Original
2025
Closest in time.

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