Chinese Physics C > 1994, Vol. 18 > Issue(10): 892-901

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

Wang Yanshen^,,
Hou Boyu

The Institute of Modern Physics,Northwest University,Xi'an 710069

Abstract
HTML
Reference
Related

PDF

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 S ^n－1manifold.

References

[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.

[1]	ZHU Yong-Sheng. Bayesian credible interval construction for Poisson statistics. Chinese Physics C, 2008, 32(5): 363-369.doi:10.1088/1674-1137/32/5/007
[2]	LI Jin-Hai,LU Jian-Qin. Nonlinear Analysis for the Electrostatic Analyzers With Lie Algebraic Methods. Chinese Physics C, 2005, 29(7): 695-699.
[3]	LI Jin-Hai,LU Jian-Qin. Nonlinear Analysis for the Wein Filter with Lie Algebraic Method. Chinese Physics C, 2004, 28(9): 998-1001.
[4]	LI Yong-Jun,WANG Lin,FENG Guang-Yao,XU Hong-Liang,LI Wei-Min,LIU Zu-Ping. Study of Insertion Device's Influence on Nonlinear Beam Dynamics in Electron Storage Ring Using Lie Algebra. Chinese Physics C, 2003, 27(9): 819-823.
[5]	LV Jian-Qin,LI Chao-Long,LI Jin-Hai. Lie Algebraic Analysis for the Nonlinear Transport of Intense Pulsed Beams in Electrostatic Lenses. Chinese Physics C, 2003, 27(1): 76-82.
[6]	LI Jin-Hai,LI Chao-Long,LU Jian-Qin. Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles. Chinese Physics C, 2003, 27(7): 645-648.
[7]	LV Jian-Qin. Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[8]	LIU XianHui. Alpha Cluster Structure of Hypernuclei and Λ-Seperate Energy of Λ17O. Chinese Physics C, 2000, 24(8): 739-742.
[9]	Jie Quanlin,Wang Shunjin,Wei Lianfu. Exact Solutions of Non-autonomous Quantum Systems With Semisimple Lie Algebraic Structure. Chinese Physics C, 1998, 22(2): 111-116.
[10]	Yang Yongxu,Li Qingrun. Description of¹⁶O+¹⁶O Elastic Scattering at 124MeV by a Folding Model. Chinese Physics C, 1997, 21(7): 645-647.
[11]	Li Qingrun,Yang Yongxu. A Folding Model for¹⁶O+¹²C System. Chinese Physics C, 1996, 20(3): 277-279.
[12]	Zhao Peiying. The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[13]	Mo Wenling,He Zhenmin,Duan Chungui,Peng Hongan. Constituent-Quark Model of Nucleon and O+U→μμ+X Processes. Chinese Physics C, 1994, 18(3): 282-288.
[14]	Liu Zuhua,Xu Jincheng,Zhang Huanqiao,Qian Xing,Qiao Yu,Lin Chengjian,Xu Kan. Subbarrier Complete Fusion-Fission Reactions of¹⁶)O+²³²Th. Chinese Physics C, 1994, 18(6): 489-495.
[15]	Li Yinwan,Zeng Qi,Hou Boyuan. Complete Integrable O(3)-σModel and r,s-Matrices. Chinese Physics C, 1994, 18(6): 518-524.
[16]	Wang Yanshen,Hou Boyu. Poisson-Lie Structure of0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[17]	GAO Xiao-Chun,XU Jing-Bo,YAN Ji-Jin,LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[18]	GAO Xiao-Chun,WANG Yong,XU Jing-Bo,LI Wen-Zhu. THE STUDY OF TOPOLOGICAL TERMS OF THE NONLINEAR SIGMA MODEL. Chinese Physics C, 1989, 13(6): 526-529.
[19]	WU Yong-Shi,GE Mo-Lin. NONLOCAL INFINITELY CONSERVED CURRENTS AND KAC-MOODY ALGEBRAIC STRUCTURE OF O(N) SUPER-CHIRAL MODEL. Chinese Physics C, 1983, 7(4): 427-436.
[20]	YU YOU-WEN,TZU HSI-CHUEN,WU WEI-FANG. FINE STRUCTURE OF THE GIANT DIPOLE RESONACE IN¹⁶O. Chinese Physics C, 1978, 2(3): 280-284.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3610)
PDF Downloads(489)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Wang Yanshen^,
Hou Boyu

Corresponding author:Wang Yanshen,

The Institute of Modern Physics,Northwest University,Xi'an 710069

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1994-10-05

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 S^n－1manifold.