Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
Makoto Natsuume, Takashi Okamura
TL;DR
This paper investigates the causal hydrodynamics of gauge theory plasmas using AdS/CFT duality, computing relaxation times for various theories and revealing inconsistencies in the Israel-Stewart framework.
Contribution
It provides the first calculations of relaxation times for supersymmetric gauge theories via AdS/CFT and highlights limitations of the Israel-Stewart theory in this context.
Findings
Relaxation times differ between shear and sound modes.
Israel-Stewart theory may be insufficient for gauge theory plasmas.
Computed relaxation times for N=4 SYM and other theories.
Abstract
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.
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