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

@article{Krishnaswami2019OnTH, 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}, year={2019} }

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… Expand

#### One Citation

Invariant tori, action-angle variables, and phase space structure of the Rajeev-Ranken model

- Mathematics, Physics
- Journal of Mathematical Physics
- 2019

We study the classical Rajeev-Ranken model, a Hamiltonian system with three degrees of freedom describing nonlinear continuous waves in a 1+1-dimensional nilpotent scalar field theory pseudodual to… Expand

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