# Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.

@article{Policastro2001ShearVO, title={Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.}, author={Giuseppe Policastro and Dam Thanh Son and Andrei O. Starinets}, journal={Physical review letters}, year={2001}, volume={87 8}, pages={ 081601 } }

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find eta = pi / 8N(2)T3. We conjecture that for finite 't Hooft coupling g(2…

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## References

SHOWING 1-2 OF 2 REFERENCES

### Quark-Gluon Plasma

- Physics
- 1986

Meson formation and radiation at the surface of quark-gluon plasma are studied by making use of the chromoelectric flux tube model. The effect of the surface meson radiation on the hydroexpansion of…

### ) . [ 4 ] J . Maldacena

- Adv . Theor . Math . Phys .
- 1990