On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model

  title={On the Hamiltonian formulation, integrability and algebraic structures of the Rajeev-Ranken model},
  author={Govind S. Krishnaswami and T. R. Vishnu},
  journal={Journal of Physics Communications},
The integrable 1+1-dimensional SU(2) principal chiral model (PCM) serves as a toy-model for 3+1-dimensional Yang-Mills theory as it is asymptotically free and displays a mass gap. Interestingly, the PCM is ‘pseudodual’ to a scalar field theory introduced by Zakharov and Mikhailov and Nappi that is strongly coupled in the ultraviolet and could serve as a toy-model for non-perturbative properties of theories with a Landau pole. Unlike the ‘Euclidean’ current algebra of the PCM, its pseudodual is… 
2 Citations

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Wess-Zumino-Witten model based on a nonsemisimple group.

  • NappiWitten
  • Mathematics, Physics
    Physical review letters
  • 1993
A conformal field theory which describes a homogeneous four dimensional Lorentz-signature space-time based on a central extension of the Poincare algebra, which can be interpreted as a four dimensional monochromatic plane wave.