An exact statement for Wilsonian and Holographic renormalization group

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.

7 pages, no figures, minor changes

References in corpus (1)

• Generation of Matrix Models by W-operators

Cited by in corpus (1)

• Holographic dual of free field theory