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arXiv · 1611.05808

Holography with a Landau pole

Anton F. Faedo·David Mateos·Christiana Pantelidou·Javier Tarrio
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Abstract

Holography for UV-incomplete gauge theories is important but poorly understood. A paradigmatic example is $d=4$, $\mathcal{N}=4$ super Yang-Mills coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale $Λ_{LP}$. The dual gravity solution exhibits a UV singularity at a finite proper distance along the holographic direction. Despite this, holographic renormalization can be fully implemented via analytic continuation to an AdS solution. The presence of a UV cut-off manifests itself in several interesting ways. At energies $E \ll Λ_{LP}$ no pathologies appear, as expected from effective field theory. In contrast, at scales $E \lesssim Λ_{LP}$ the gravitational potential becomes repulsive, and at temperatures $T \lesssim Λ_{LP}$ the specific heat becomes negative. Although we focus on $\mathcal{N}=4$ super Yang-Mills with flavor, our qualitative results apply to a much more general class of theories, since they only depend on the fact that the metric near the UV singularity is a hyper-scaling violating metric with exponent $θ> d-1$.

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Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio. 2017-03-01. Holography with a Landau pole. https://doi.org/10.1007/jhep02(2017)047

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