[Jlab-seminars] Theory Center Seminar

[Mary Fox]

Theory Center Seminar
Mon., March 31, 2014
1:00 p.m. (coffee at 12:45 p.m.)
CEBAF Center, Room L102

Vladimir Kazakov
Laboratoire de Physique Théorique de l'Ecole Normale Supérieure
Paris, France

*Exact Spectrum of Anomalous Dimensions in Planar N=4 SYM Theory*

The planar N=4 Super-Yang-Mills theory appears to be integrable via its 
AdS/CFT duality to a  superstring
sigma-model defined on a two-dimensional world sheet. This allows 
formulation of a finite system of
functional, or Riemann-Hilbert equations, exact at any YM coupling, 
calculating the anomalous dimensions
of,/a priori/, any local operators, which can be efficiently analyzed in 
various approximations: weak coupling
(9 loops for the anomalous dimension of Konishi operator!), strong 
coupling and possibly BFKL, and solved
numerically. The solution is based on a nice mathematical structure of 
quantum integrability: Hirota equations,
their Wronskian solutions in terms of Baxter's Q-functions and a 
peculiar analytic structure of these functions
w.r.t. the spectral parameter.
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