Deformations of Lifshitz Holography in $(n+1)$-dimensions

Details Deformations of Lifshitz Holography in $(n+1)$-dimensions Deformations of Lifshitz Holography in $(n+1)$-dimensions

2012-02-17

arxiv.org/abs/1202.3944v3

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 10 figures with multiple plots

Scientific paper

We investigate deformations of Lifshitz holography in $(n+1)$ dimensional spacetime. After discussing the situation for general Lifshitz scaling symmetry parameter $z$, we consider $z=n-1$ and the associated marginally relevant operators. These operators are dynamically generated by a momentum scale $\Lambda \sim 0$ and correspond to slightly deformed Lifshitz spacetimes via a holographic picture. We obtain renormalization group flow at finite temperature from UV Lifshitz to IR AdS, and evaluate how physical quantities such as the free energy density and the energy density depend on $\log(\Lambda^z/T)$ in the quantum critical regime as $\Lambda^z/T \rightarrow 0$.

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