Running Shear Viscosities in An-Isotropic Holographic Superfluids

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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1+11 pages, corrected typos and adding more references

Scientific paper

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 anisotropic 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 the shear viscosities in $UV$ region will flow into the single fixed point and $T_c$ and $\mu$ dependence of the shear viscosities disappears completely in $IR$ region.

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