Non-planar spin bits beyond two loops

2005/05/12 by Stefano Bellucci, S. Bellucci, Bellucci, S. +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0505106

30 pages, no figures, PACS numbers: 11.15.Pg; 11.15.-q; 11.25.Hf; extensive revisions in Section 4, including complete parameter fixing; conclusions improved; moved subsection on spin-edge differences Ansaetze in appendix III; a few references added

arxiv created 2005/07/01 · arxiv updated 2009/12/01

Abstract

We study higher-loop orders of spin bit models underlying the non-planar dynamics of N=4 SYM gauge theory. In particular, we derive a ''tower'' of non-planar identities involving products of site permutation operators. Such identities are then applied in the formulation of planarly consistent, testable conjectures for the full non-planar, higher-loop Hamiltonian of the su(2) spin-chain.

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