An exact statement for Wilsonian and Holographic renormalization group

Details An exact statement for Wilsonian and Holographic renormalization group An exact statement for Wilsonian and Holographic renormalization group

2010-01-22

arxiv.org/abs/1001.4067v3

Phys.Rev.D81:085010,2010

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures, minor changes

Scientific paper

10.1103/PhysRevD.81.085010

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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