Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-02-20
JHEP 0605:068,2006
Physics
High Energy Physics
High Energy Physics - Theory
38 pages, Latex revised version: draft formulae indicator deleted, one reference added, typos corrected, few minor text modifi
Scientific paper
10.1088/1126-6708/2006/05/068
Non-linear integral equations derived from Bethe Ansatz are used to evaluate finite size corrections to the highest (i.e. {\it anti-ferromagnetic}) and immediately lower anomalous dimensions of scalar operators in ${\cal N}=4$ SYM. In specific, multi-loop corrections are computed in the SU(2) operator subspace, whereas in the general SO(6) case only one loop calculations have been finalised. In these cases, the leading finite size corrections are given by means of explicit formul\ae and compared with the exact numerical evaluation. In addition, the method here proposed is quite general and especially suitable for numerical evaluations.
Feverati Giovanni
Fioravanti Davide
Grinza Paolo
Rossi Marco
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