The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames

  • The Poisson-Lie structure of non-linear -model is given in O(n)/O(n-1)symmetry space,and the covariant relation between moving frame and fixed frame is discussed using the method of covariant decomposition.It is clear that the field dependence of the r and s matrices results from the connection of Sn-1 manifold.
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  • [1] A.M.Polyakov,Phys.Lett.,59B(1975)79;M.Luscher,Nucl.Phys.,B135(1978)1;M.Luscher and K.Pohlmeyer,Nucl.Phys.,B137(1978)46;H.Eichenherr and M.Foryer,Nucl.Phys.,B155(1979)381;H.de.Vega,Phys.Lett,,87B(1979)233.[2]J.M.Maillet,Phys.Lett.,162B(1985)137;J.M.Maillet,Nucl.Phys.,B269(1986)54.[3]H.Eichenherr,M.Forger,Nucl.Phys.,B164(1980)528;M.Forger,M.Bordemann,J.Laartz,U.Schaper,TheLie-Poisson Structure of Integrable Classical Non-Linear Sigma Models.Freiburg University preprint THEP91/11.[4]BoyuHou,BoyuanHou and PeiWang,J.Phys.A.Math.Gen.,18(1985)165.[5]E.Brezin et al,Phys.Lett.,82B(1979)442.[6]侯伯元、侯伯宇,物理学家用微分几何,(1990),科学出版社,220.[7]王延申、杨文力、杨焕雄、侯伯宇,物理学报,43(1994)175;43(199)185.
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Wang Yanshen and Hou Boyu. The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(10): 892-901.
Wang Yanshen and Hou Boyu. The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(10): 892-901. shu
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Received: 1900-01-01
Revised: 1900-01-01
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The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames

    Corresponding author: Wang Yanshen,
  • The Institute of Modern Physics,Northwest University,Xi'an 710069

Abstract: The Poisson-Lie structure of non-linear -model is given in O(n)/O(n-1)symmetry space,and the covariant relation between moving frame and fixed frame is discussed using the method of covariant decomposition.It is clear that the field dependence of the r and s matrices results from the connection of Sn-1 manifold.

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