An exact statement for Wilsonian and Holographic renormalization group (1001.4067v3)

Published 22 Jan 2010 in hep-th and cond-mat.stat-mech

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 $\Tr \phi^l$ (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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