Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

WANG MeiXu; YANG WenLi; 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> 2000, Vol. 24> Issue(4) : 300-305

Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

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

Abstract
HTML
Reference
Related

PDF

Abstract：
We gave a new Lax representation of rational Ruijsenaars-Schneider models(n=2) which is governed by the same r-matrix as in Calogero-Moser model,and found that the corresponding r-matrix is non-dynamical.

References

[1]

Nijhoff F W, Ragnisco O, Kuznetsov V B. Comm.Math.Phys., 1996, 176:681 2 Caselle M. Phys. Rev. Lett., 1995, 74:27763 Marotta V, Sciarrino A. Nucl. Phys., 1996, B476:3514 Freidel L, Maillet J M. Phys. Lett., 1991, B262:278 5 Ruijsenaars S N M. Comm.Math. Phys., 1988, 115:1276 Nijhoff F W, Kuznetsov V B, Sklyanin E K et al. J. Phys. (Math. Gen. ), 1996, A29:L3337 Suris Y B. Elliptic Ruijsenaars–Schneider and Calogero–Moser Hierarchies are Governed by the Same r–Matrix, Preprinthep–th/96030118 HOU B Y, YANG W L. The Dynamical Twisting and Nondynamic r–Matrix Structure for the Elliptic Rujisenaars–Schneider Model, Preprint Math. QA/9802104 9 Babelon O, Viallet C M. Phys. Lett., 1989, B237:411 10 Suris Y B. Why are the Rational and Hyperhalic Ruijsenaars–Schneider Hierarchies Governed by the Same R–Operators as the Calogero–Moser Ones, Preprint hep–th/9602160

[1]	N.Borghini . Using the Anisotropic-Flow Harmonics v₂ and v₄ to Test Dynamical Descriptions of Ultrarelativistic Heavy-Ion Collisions. Chinese Physics C, 2007, 31(12): 1153-1156.
[2]	WU Jian-Feng , XUE Xun . Lorentz-Violating Electrodynamics Model. Chinese Physics C, 2006, 30(10): 950-955.
[3]	ZHAO Kai , LI Zhu-Xia , WU Xi-Zhen , WANG Ning , ZHANG Ying-Xun , TIAN Jun-Long , ZHANG Huan-Qiao , LIU Zu-Hua . Dynamic Model Study of Fusion Reactions for ^40,48Ca+^90,96Zr. Chinese Physics C, 2006, 30(1): 26-31.
[4]	TIAN Jun-Long , WU Xi-Zhen , LI Zhu-Xia , WANG Ning , LIU Fu-Hu . Study on Fusion Potential Barrier in Heavy Ion Reactions Based on the Dynamical Model. Chinese Physics C, 2004, 28(7): 725-732.
[5]	JIN Meng , CHEN Ji-Sheng , LI Jia-Rong . A New Phase of Nuclear Matter under the Condition of High Temperature in QHD Model. Chinese Physics C, 2002, 26(5): 516-521.
[6]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[7]	Jiang Weizhou , Qiu Xijun . Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model. Chinese Physics C, 1999, 23(5): 481-488.
[8]	Zhen Yi , Yang Wenli , Hou Boyu , Chen Kai . Nondynamical r-Matrix Structure for the Trigonometric Calogero-Moser Model. Chinese Physics C, 1999, 23(9): 854-858.
[9]	Zhang Jun , Yang Guangcan , Yan Hong . 2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model. Chinese Physics C, 1995, 19(12): 1084-1089.
[10]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[11]	Zhao Zhentang , Lin Yuzheng , Wang Hongyuan . Beam Dynamics characteristic in 1/2+m Cell's Harmonic Microwave Cun. Chinese Physics C, 1994, 18(7): 664-672.
[12]	FU Deji , YANG Yatian , WANG Wenge , XU Gongou . Topological Approach to the Study of Dynamical Symmetry Breaking in IBM System. Chinese Physics C, 1993, 17(11): 1032-1039.
[13]	HOU Bo-Yu , SHI Kang-Jie , YUE Rui-Hong . The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[14]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[15]	BIAN Jian-Guo . Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[16]	SONG Zhong-Heng , WANG Xiao-Min . THREE-DIMENSIONAL DYNAMIC CALCULATION OF CHARGE DISC WITH VARIABLE RADIUS OF ELECTRON LINAC. Chinese Physics C, 1990, 14(1): 16-23.
[17]	SHEN Kun , QIU Zhong-Ping . THE CHIRAL SU(2)_L SU(2)_R σ-MODEL WITH MASSIVE π MESONS. Chinese Physics C, 1989, 13(8): 755-759.
[18]	ZHU Wei , SHEN Jian-Guo . A DYNAMICAL MODEL FOR THE GLUON DISTRIBUTION FUNCTION. Chinese Physics C, 1983, 7(3): 316-322.
[19]	HUANG CHAO-SHANG . THE LARGE MOMENTUM BEHAVIOR OF THE ELECTROMAGNETIC TRANSITION FORM FACTOR F_A₁π(q²) IN QCD. Chinese Physics C, 1982, 6(2): 168-175.
[20]	KUANG YU-PING , . SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES. Chinese Physics C, 1981, 5(1): 72-81.

Access

Get Citation

WANG MeiXu, YANG WenLi and HOU BoYu. Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones[J]. Chinese Physics C, 2000, 24(4): 300-305.

WANG MeiXu, YANG WenLi and HOU BoYu. Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones[J]. Chinese Physics C, 2000, 24(4): 300-305. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-02-24
Revised: 1900-01-01

Article Metric

Article Views(2676)
PDF Downloads(626)
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

Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones

Corresponding author: WANG MeiXu,

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

Received Date: 1999-02-24
Accepted Date: 1900-01-01
Available Online: 2000-04-05

Abstract: We gave a new Lax representation of rational Ruijsenaars-Schneider models(n=2) which is governed by the same r-matrix as in Calogero-Moser model,and found that the corresponding r-matrix is non-dynamical.