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Exact statement for Wilsonian and holographic renormalization group

2010; American Physical Society; Volume: 81; Issue: 8 Linguagem: Inglês

10.1103/physrevd.81.085010

1550-7998

É. T. Akhmedov, Edvard T. Musaev,

Noncommutative and Quantum Gravity Theories

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.