Hubbard's adventures in N=4 SYM-land? Non-perturbative considerations on antiferromagnetic anomalous dimensions
Fri, Jan. 19th 2007, 11:00
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
Nonlinear integral equations equivalent to the Hubbard model Bethe Ansatz are
used to evaluate the highest (i.e. antiferromagnetic) anomalous dimensions
of scalar operators in N=4 SYM.
In specific, multiloops corrections are computed in the SU(2) operator subspace
and compared with BDS Bethe Ansatz predictions.
In the general SO(6) case only one loop calculations can be finalised.
The method proposed here is quite general and originates in the exact evaluation of
finite size corrections to observables of spin chains.
It is especially suitable for numerical evaluations and it allows for explicit
computation of the leading finite size corrections.