Abstract:
We briefly review the spin-bit formalism, describing the non-planar dynamics of the N=4,d=4\mathcal{N}=4,d=4 Super Yang-Mills SU(N) gauge theory. After considering its foundations, we apply such a formalism to the su(2)su(2) sector of purely scalar operators. In particular, we report an algorithmic formulation of a deplanarizing procedure for local operators in the planar gauge theory, used to obtain planarly-consistent, testable conjectures for the higher-loop su(2)su(2) spin-bit Hamiltonians. Finally, we outlook some possible developments and applications.
Note:
  • Published in : 'Towards New Milestones in Our Quest to go Beyond the Standard Model' (A. Zichichi Ed.), World Scientific (Singapore, 2006)
  • 29 pages; contribution to the Proceedings of the 43rd Erice International School of Subnuclear Physics ``Towards New Milestones in our Quest to go Beyond the Standard Model'', Erice, Italy (29 August--7 September 2005); v2: some references added
  • talk: Erice 2005/08/29
  • gauge field theory: SU(N)
  • supersymmetry
  • model: spin
  • operator: composite
  • Hamiltonian formalism
  • perturbation theory: higher-order
  • field theory: planar
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