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arXiv · 1001.4067

An exact statement for Wilsonian and Holographic renormalization group

E. T. Akhmedov·E. T. Musaev
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Abstract

We show that Polchinski equations in the D--dimensional matrix scalar field theory can be reduced at large $N$ to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the $\Tr ϕ^l$ (for all $l$) operators we find the exact form of the corresponding Hamiltonian. The relation to the Holographic renormalization group is discussed.

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E. T. Akhmedov, E. T. Musaev. 2010-03-03. An exact statement for Wilsonian and Holographic renormalization group. https://doi.org/10.1103/physrevd.81.085010

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