On the finite size corrections of anti-ferromagnetic anomalous dimensions in Script N = 4 SYM | Zendy

Giovanni Feverati | Zendy; Davide Fioravanti | Zendy; Paolo Grinza | Zendy; Marco Rossi | Zendy

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On the finite size corrections of anti-ferromagnetic anomalous dimensions in Script N = 4 SYM

Author(s) -

Giovanni Feverati,

Davide Fioravanti,

Paolo Grinza,

Marco Rossi

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/05/068

Subject(s) - scalar (mathematics) , subspace topology , bethe ansatz , ferromagnetism , mathematical physics , operator (biology) , physics , mathematics , quantum electrodynamics , loop (graph theory) , ansatz , mathematical analysis , quantum mechanics , combinatorics , geometry , chemistry , integrable system , biochemistry , repressor , transcription factor , gene

38 pages, Latex revised version: draft formulae indicator deleted, one reference added, typos corrected, few minor text modificationsNon-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 formulæ and compared with the exact numerical evaluation. In addition, the method here proposed is quite general and especially suitable for numerical evaluations

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