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

@article{Krishnaswami2018OnTH, 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={2018}, volume={3} }

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

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

- MathematicsJournal 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…

### Quantum Rajeev–Ranken model as an anharmonic oscillator

- Physics, MathematicsJournal of Mathematical Physics
- 2022

The Rajeev–Ranken (RR) model is a Hamiltonian system describing screw-type nonlinear waves of wavenumber k in a scalar field theory pseudodual to the 1 + 1D SU(2) principal chiral model. Classically,…

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