Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP
Original
1905
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B
1999
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski space correlators in AdS / CFT correspondence: Recipe and applications,” JHEP
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics,” JHEP
2002
Earlier work this paper cites.
A. Nunez and A. O. Starinets, “AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM,” Phys. Rev. D
2003
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P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP
2003
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P. Kovtun, D. T. Son and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett
2005
Earlier work this paper cites.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys. Rev. D
2005
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2017

Hyperscaling violation, quasinormal modes and shear diffusion

Mukherjee, Debangshu, Narayan, K.

Understand

We study quasinormal modes of shear gravitational perturbations for hyperscaling violating Lifshitz theories, with Lifshitz and hyperscaling violating exponents $z$ and $\theta$.

The lowest quasinormal mode frequency yields a shear diffusion constant which is in agreement with that obtained in previous work by other methods.
In particular for theories with $z< d_i+2-\theta$ where $d_i$ is the boundary spatial dimension, the shear diffusion constant exhibits power-law scaling with temperature, while for $z=d_i+2-\theta$, it exhibits logarithmic scaling.
We then calculate certain 2-point functions of the dual energy-momentum tensor holographically for $z\leq d_i+2-\theta$, identifying the diffusive poles with the quasinormal modes above.

Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP
Original
1905
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys
1998
Earlier work this paper cites.
I. R. Klebanov and E. Witten, “AdS / CFT correspondence and symmetry breaking,” Nucl. Phys. B
1999
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Minkowski space correlators in AdS / CFT correspondence: Recipe and applications,” JHEP
2002
Earlier work this paper cites.
G. Policastro, D. T. Son and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics,” JHEP
2002
Earlier work this paper cites.
A. Nunez and A. O. Starinets, “AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM,” Phys. Rev. D
2003
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Holography and hydrodynamics: Diffusion on stretched horizons,” JHEP
2003
Earlier work this paper cites.
P. Kovtun, D. T. Son and A. O. Starinets, “Viscosity in strongly interacting quantum field theories from black hole physics,” Phys. Rev. Lett
2005
Earlier work this paper cites.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys. Rev. D
2005
Earlier work this paper cites.