Some Solutions of the U(N) Sigma Models
(1988)
Conference Proceeding
Piette, B. (1988). Some Solutions of the U(N) Sigma Models. In H. Doebner, J. Hennig, & T. Palev (Eds.),
Outputs (9)
Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the supersymmetric U(N) $\sigma$ Models with the Wess-Zumino-Witten Term. Zeitschrift für Physik. C, Particles and fields, C( 44),
General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). General Classical Solutions of the U(3) and U(4) Chiral $\sigma$ Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990594-9
Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds (1988)
Journal Article
Antoine, J., & Piette, B. (1988). Solution of Euclidean $\sigma$ Models on Non-Compact Grassmann Manifolds. Journal of Mathematical Physics, 29(7), 1687-1697. https://doi.org/10.1063/1.527917
Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions (1988)
Journal Article
Piette, B., & Zakrzewski, W. (1988). Properties of Classical Solutions of the U(N) Chiral $\sigma$Models in two Dimensions. Nuclear Physics B, B(300), https://doi.org/10.1016/0550-3213%2888%2990595-0
Explicit Solutions of Grassmannian $\sigma$ Models (1988)
Journal Article
Piette, B. (1988). Explicit Solutions of Grassmannian $\sigma$ Models. Journal of Mathematical Physics, 29, 2190-2196. https://doi.org/10.1063/1.528147
On stability of solutions of theU(N) chiral model in two dimensions. (1988)
Journal Article
Piette, B., Stokoe, I., & Zakrzewski, W. (1988). On stability of solutions of theU(N) chiral model in two dimensions. Zeitschrift für Physik. C, Particles and fields, 37(3), 449-455. https://doi.org/10.1007/bf01578140
Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term (1988)
Journal Article
Piette, B., Zait, R., & Zakrzewski, W. (1988). Solutions of the U(N) $\sigma$ Models with the Wess-Zumino Term. Zeitschrift für Physik. C, Particles and fields, 39(3), 359-364. https://doi.org/10.1007/bf01548285
Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. (1988)
Journal Article
Lambert, D., & Piette, B. (1988). Solutions of Minkowskian $\sigma$ Models on Hyperbolic Complex Grassmann Manifolds. Classical and Quantum Gravity, 5(2), 307-319. https://doi.org/10.1088/0264-9381/5/2/010The authors define two-dimensional Minkowskian sigma models valued in hyperbolic complex Grassmann manifolds. They construct a different kind of solution using hyperbolic analytic functions. They exhibit graphs of a few explicit solutions.