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An exact statement for Wilsonian and Holographic renormalization group

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arxiv 1001.4067 v3 pith:BZKXEICI submitted 2010-01-22 hep-th cond-mat.stat-mech

E.T. Akhmedov , E.T. Musaev This is my paper · ORCID
classification hep-thcond-mat.stat-mech
keywords equationsexactgrouphamiltonianholographicrenormalizationtheorycorresponding
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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 $\Tr \phi^l$ (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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    Liouville integrability conditions for monomial charge densities reduce to a negative Pell equation, generating an infinite set of commuting conserved charges for a new dispersionless Hamiltonian model.

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