# Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description

@article{He2003ClassicalON, title={Classical O(N) nonlinear sigma model on the half line: a study on consistent Hamiltonian description}, author={Wenli He and Liu Zhao}, journal={Physics Letters B}, year={2003}, volume={570}, pages={251-259} }

## 8 Citations

### On integrable boundaries in the 2 dimensional O(N) σ-models

- Mathematics
- 2017

We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear O(N) σ-models. We do it at various levels: classically, by demanding the existence of infinitely many…

### The reduced phase space of an open string in the background B-field

- Physics
- 2005

The problem of an open string in background B-field is discussed. Using the discretized model in details we show that the system is influenced by an infinite number of second class constraints. We…

### Boundary integrability of nonlinear sigma models

- Mathematics
- 2005

We describe recent work on the classical integrability of the principal chiral model and general sigma models with boundaries in (compact) symmetric spaces.

### Boundary integrability of nonlinear sigma models

- MathematicsTheoretical and Mathematical Physics
- 2005

We describe recent work on the classical integrability of the principal chiral model and general sigma models with boundaries in (compact) symmetric spaces.

### SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE

- Physics
- 2005

We study classical integrability of the supersymmetric U(N) σ model with the Wess–Zumino–Witten term on infinite and half-plane. We demonstrate the existence of nonlocal conserved currents of the…

## References

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- Mathematics
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The classical integrability of the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary…

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- Mathematics
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The canonical structure of classical non-linear sigma models on Riemannian symmetric spaces, which constitute the most general class of classical non-linear sigma models known to be integrable, is…

### Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model

- Mathematics
- 2002

We discuss the new integrable boundary conditions for the O(N) nonlinear σ model and related solutions of the boundary Yang-Baxter equation, which were presented in our previous paper hep-th/0108039.

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- Physics
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Abstract. In this article we show that boundary conditions can be treated as Lagrangian and Hamiltonian constraints. Using the Dirac method, we find that boundary conditions are equivalent to an…

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Quantization of classical field in the presence of various boundary conditions is an old problem for which a systematical solution is still missing. This problem is important because it is related to…