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SUMMARY:Hints on integrability in the Wilsonian/holographic renormalizatio
 n group - Emil Akhmedov (ITEP\, Moscow)
DTSTART:20131129T130000Z
DTEND:20131129T140000Z
UID:TALK48606@talks.cam.ac.uk
CONTACT:Helvi Witek
DESCRIPTION:The Polchinski equations for the Wilsonian renormalization gro
 up in the D-dimensional matrix scalar field theory can be written in a Ham
 iltonian form\, if N is large. The Hamiltonian defines evolution along one
  extra holographic dimension (energy scale) and can be found exactly for t
 he complete basis of single trace operators. We show that at low energies 
 independently of the dimensionality D the Hamiltonian system in question (
 for the subsector of operators without derivatives) reduces to the integra
 ble effective theory. The obtained Hamiltonian system describes large wave
 length KdV type (Burger-Hopf) equation and is related to the effective the
 ory obtained by Das and Jevicki for the matrix quantum mechanics.
LOCATION:Pavilion B Potter Room (B1.19)
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