Poisson-Lie Structure of <i>0</i>(<i>n</i>) Non-Linear Sigma Model in Moving Frames

Wang Yanshen; Hou Boyu

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(S4) : 345-355

Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames

Wang Yanshen ,
Hou Boyu

Institute of Modem Physics, Northwest University, Xian, Shanxi, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The Poisson-Lie structure of non-linear σ-model is given in 0(n)/0(n-1) symmetric space,and the covariant relation between moving frame and fixed frame is discussed by making use of 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-1 manifold.
- non-linear σ model ,
- symmetric space ,
- Poisson-Lie bracket

[1]	G. Abbas , R. H. Ali . Extended phase space thermodynamics of black hole with non-linear electrodynamic field. Chinese Physics C, 2023, 47(6): 065103. doi: 10.1088/1674-1137/acc56f
[2]	Juan-Juan Niu , Lei Guo , Shao-Ming Wang . HZ associated production with decay in the Alternative Left-Right Model at CEPC and future linear colliders. Chinese Physics C, 2018, 42(9): 093107. doi: 10.1088/1674-1137/42/9/093107
[3]	GUO Xing-Dao , FENG Tai-Fu , ZHAO Shu-Min , KE Hong-Wei , LI Xue-Qian . Constraining parameter space of the little Higgs model using data from tera-Z factory and ILC. Chinese Physics C, 2015, 39(2): 023103. doi: 10.1088/1674-1137/39/2/023103
[4]	CHEN Hua-Xing , Shotaro Imai , Hiroshi Toki , GENG Li-Sheng . Study of hadrons using the Gaussian functional method in the O(4) linear σ model. Chinese Physics C, 2015, 39(6): 064103. doi: 10.1088/1674-1137/39/6/064103
[5]	S. S. Hosseini , S. Zarrinkamar . Dirac oscillator in noncommutative space. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
[6]	CHANG Zhe , LI Ming-Hua , LI Xin . Constraints from Type Ia supernovae on the Λ-CDM model in Randers-Finsler space. Chinese Physics C, 2012, 36(8): 710-715. doi: 10.1088/1674-1137/36/8/005
[7]	REN Yan-Yu , Efaaf M , ZHANG Wei-Ning . Inhomogeneous space-time structure and two-pion interferometry in NEXSPHERIO model. Chinese Physics C, 2010, 34(4): 472-478. doi: 10.1088/1674-1137/34/4/010
[8]	WANG Ke , JIANG Yun-Guo , HUO Qiu-Hong . Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003
[9]	ZHAO Xiao-Song , LV Jian-Qin . Comparison of the PIC model and the Lie algebraic method in the simulation of intense continuous beam transport. Chinese Physics C, 2009, 33(S2): 125-127. doi: 10.1088/1674-1137/33/S2/032
[10]	WU Xi , LEI Yi-An . Comparison between formulas of rotational band for axially symmetric deformed nuclei. Chinese Physics C, 2008, 32(2): 112-119. doi: 10.1088/1674-1137/32/2/008
[11]	LI Di-Kai , CHEN Gang , WEI Hui-Ling . Energy dependence of non-linear dynamical features in e⁺e^－ collisions. Chinese Physics C, 2008, 32(7): 552-555. doi: 10.1088/1674-1137/32/7/008
[12]	WANG Yong-Long , LI Zi-Ping . Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term. Chinese Physics C, 2004, 28(7): 696-698.
[13]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[14]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[15]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Nuclei. Chinese Physics C, 1995, 19(S4): 405-411.
[16]	Zhao Peiying . Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model. Chinese Physics C, 1995, 19(S2): 151-155.
[17]	Wang Yanshen , Hou Boyu . The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(10): 892-901.
[18]	Hao Sanru . A New Symmetric Transformation of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(S2): 111-116.
[19]	Dai Guangxi , Li Weisheng . Exploration of Optimum Shape in Symmetric Fission. Chinese Physics C, 1988, 12(S4): 399-404.
[20]	Wen Jiaru , Huang Tao . Baryons as Solitons in a Non-Linear a Model With Only a Sixth-Order Stabilizing Term. Chinese Physics C, 1988, 12(S1): 77-80.

Access

Get Citation

Wang Yanshen and Hou Boyu. Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(S4): 345-355.

Wang Yanshen and Hou Boyu. Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames[J]. Chinese Physics C, 1994, 18(S4): 345-355. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1993-06-28

Article Metric

Article Views(473)
PDF Downloads(2)
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

Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames

Wang Yanshen
Hou Boyu

Institute of Modem Physics, Northwest University, Xian, Shanxi, China

Received Date: 1993-06-28

Abstract: The Poisson-Lie structure of non-linear σ-model is given in 0(n)/0(n-1) symmetric space,and the covariant relation between moving frame and fixed frame is discussed by making use of 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-1 manifold.