1201.5605 (Jae-Hyuk Oh)

Running Shear Viscosities in An-Isotropic Holographic Superfluids    [PDF]

Jae-Hyuk Oh

We have examined holographic renormalization group($RG$) flows of the shear
viscosities in an-isotropic holographic superfluids via their gravity duals,
Einstein-SU(2) Yang-Mills system. In an-isotropic phase, below a certain
critical temperature $T_c$, the shear viscosities of the conformal fluids
defined on $AdS$ boundary present non-universal values which depend on the
chemical potential $\mu$ and $T_c$ and also satisfy non-trivial holographic
$RG$-flow equations. However, it turns out that the shear viscosities computed
at the black brane horizon become again universal value, regardless of the
specific values of those on the $AdS$ boundary. This can be interpreted in the
dual fluids system as that the shear viscosities in $UV$ region in an-isotropic
phase will flow into the single fixed point and $T_c$ and $\mu$ dependence of
the shear viscosities disappears completely in $IR$ region.

View original: http://arxiv.org/abs/1201.5605