Complete Integrable O(3)-σModel and r,s-Matrices

Li Yinwan; Zeng Qi; Hou Boyuan

Chinese Physics C> 1994, Vol. 18> Issue(6) : 518-524

Complete Integrable O(3)-σModel and r,s-Matrices

Graduate school,Academia sinica Beijing 100039

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Abstract：
The fundamental Poisson structure of nonlinear O(3)-σmodel,treated as a constrained dynamical system, is discussed in arbitary local coordinate frame.The corrsponding r,s-matrices,which are generally field dependent,are presented explicitly.It is noticed,however, that in a certain local coordinate frame,r,s-matrices will be field-independent.

References

[1]

E.K.Skylanin:On Complete Integrability of the Landau-Lifshitz Equation,Preprint LOMI（1980）;E.K.Skylanin,The Quantum Inverse Scattering Method,Zap.Nauchn.Sem.LOMI,95（1980）55.[2]J.M.Maillet.Nucl.Phys,B269（1986）54.[3]M.Forger et al,The Lie-Polsson Structure of Integrable Classical Non-Linear Sigma Model,Freiburg University preprint THEP91/11.[4]Bo-Yu Hou,Bo-Yuan Hou and Pei Wang,J.Phys.A:Math.Gen,18（1985）165.[5]P.A,M.狄拉克着，袁卡佳等译《狄拉克量子力学演讲集》，科学出版社，1986.[6]J.Maharana.Phys.Letts,128B（1983）411.

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Li Yinwan, Zeng Qi and Hou Boyuan. Complete Integrable O(3)-σModel and r,s-Matrices[J]. Chinese Physics C, 1994, 18(6): 518-524.

Li Yinwan, Zeng Qi and Hou Boyuan. Complete Integrable O(3)-σModel and r,s-Matrices[J]. Chinese Physics C, 1994, 18(6): 518-524. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Complete Integrable O(3)-σModel and r,s-Matrices

Corresponding author: Li Yinwan,

Graduate school,Academia sinica Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-06-05

Abstract: The fundamental Poisson structure of nonlinear O(3)-σmodel,treated as a constrained dynamical system, is discussed in arbitary local coordinate frame.The corrsponding r,s-matrices,which are generally field dependent,are presented explicitly.It is noticed,however, that in a certain local coordinate frame,r,s-matrices will be field-independent.