Knitting Ansatz and Solutions to Yang-Baxter Equation

Zhang Jun; Guo Hanying; Yan Hong

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> 1997, Vol. 21> Issue(8) : 714-719

Knitting Ansatz and Solutions to Yang-Baxter Equation

ZhangJunInstituteofMathematicsandPhysics,XinjiangUniversity,Wulumuqi830046GuoHanyingYanHongInstituteofTheoreticalPhysics,TheChineseAcademyofSciences,Beijing100080

Abstract
HTML
Reference
Related

PDF

Abstract：
We suggest a new method,named knitting ansatz,to generate solutions to Yang-Baxter equation with lower dimensional representations of braid group.To support our ansatz,we work out an example of a new 16×16 R-matrix constructed along this idea,with two 4×4 braid group representations of familiar 6-vertex type with different q-parameters.

References

[1]	马中骐，杨-巴克斯特方程和量子包络代数，科学出版社，1993.[2]C.N.Yang,Phys.Rev,Lett,19（1967）1312.[3]R.J.Baxter,Ann.Phys.,70（1992）193.[4]M.L.Ge,K.Xue,Preprint,ITP-SB-90-20,1990.[5]王鲁豫，博士论文，兰州大学，1990.[6]Y.Q.Li,J.Zhang,Commun.Theor,Phys,21(1994)435.

[1]	San-Min Ke , Wen-Li Yang , Ke-Xia Jang , Chun Wang , Xue-Min Shuai , Zhan-Yun Wang , Gang Shi . Yang-Baxter deformations of supercoset sigma models with Z_4m grading. Chinese Physics C, 2017, 41(11): 113101. doi: 10.1088/1674-1137/41/11/113101
[2]	ZHANG Ai-Ping , QIANG Wen-Chao . Exact Bound Solution of the Klein-Gordon Equation and the Dirac Equation with Rosen-MorseⅡ Potential. Chinese Physics C, 2007, 31(11): 1027-1031.
[3]	SHI KangJie , LI GuangLiang , FAN Heng , YUE RuiHong , HOU BoYu . Constant Solutions to the Reflection Equation of 19 vertex Model. Chinese Physics C, 2000, 24(1): 21-34.
[4]	SHI KangJie , LI GuangLiang , FAN Heng , HOU BoYu . Constant Solutions to the Reflection Equation of 15 Vertex Model. Chinese Physics C, 2000, 24(1): 11-20.
[5]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Polyparametioner Solution to the Renflection Equationin the A_n－1⁽¹⁾ Face Model. Chinese Physics C, 1999, 23(12): 1163-1170.
[6]	Shi Kangiie , Li Guangliang , Fan Heng , Hou Boyu . Multi-Parameter Solution to the Reflection Equation of Z_n Belavin Model. Chinese Physics C, 1999, 23(5): 425-435.
[7]	Zou Pengcheng , Huang Yongchang . Proof of. Chinese Physics C, 1995, 19(9): 796-799.
[8]	Hu Zhanning , Hou Boyu . Integrability Conditions of the Three-dimensional Exactly Solved Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(S2): 143-150.
[9]	Hu Zhanning , Hou Boyu . The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics. Chinese Physics C, 1995, 19(2): 123-130.
[10]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method. Chinese Physics C, 1994, 18(4): 340-346.
[11]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[12]	DI Yao-Min , HA Yi-Ming , FU De-Ji , XU Gong-Ou . The Solution of Dynamical Equation of Motion of IBM-Ⅱ in Continuous Variable Representation. Chinese Physics C, 1993, 17(6): 559-567.
[13]	SUN Zhe-Min , WU Xi-Zhen , FENG Ren-Fa , ZHUO Yi-Zhong , XING Jing-Ru , ZHANG Shu-Fa . ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION. Chinese Physics C, 1989, 13(9): 833-836.
[14]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[15]	YAN Jun-Hu . EXACT SOLUTION OF THE PAULI EQUATION IN THE FIELD OF A 'T HOOFT-POLYAKOV MONOPOLE. Chinese Physics C, 1985, 9(3): 367-370.
[16]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[17]	XU Bo-Wei , . VACUUM SOLUTIONS OF CONFORMALLY COVARIANT NONLINEAR COUPLED EQUATIONS. Chinese Physics C, 1984, 8(1): 34-38.
[18]	WU XI-ZHEN , ZHUO YI-ZHONG , CHANG XI-ZHEN , YANG YING-HUI , MA ZHONG-YU , FENG REN-FA . CALCULATION OF THE NUCLEAR FISSION RATE BY SOLVING F-P EQUATION NUMERICALLY. Chinese Physics C, 1983, 7(6): 716-723.
[19]	MA ZHONG-QI . THE RELATION BETWEEN THE STATIC SPHERICALLY SYMMETRIC SOLUTION OF CLASSICAL SU(N) YANGMILLS EQUATION IN THE WIDE SENSE AND STATIC SPHERICALLY SYMMETRIC SOURCE. Chinese Physics C, 1982, 6(2): 176-184.
[20]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.

Access

Get Citation

Zhang Jun, Guo Hanying and Yan Hong. Knitting Ansatz and Solutions to Yang-Baxter Equation[J]. Chinese Physics C, 1997, 21(8): 714-719.

Zhang Jun, Guo Hanying and Yan Hong. Knitting Ansatz and Solutions to Yang-Baxter Equation[J]. Chinese Physics C, 1997, 21(8): 714-719. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2748)
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

Knitting Ansatz and Solutions to Yang-Baxter Equation

Corresponding author: Zhang Jun,

ZhangJunInstituteofMathematicsandPhysics,XinjiangUniversity,Wulumuqi830046GuoHanyingYanHongInstituteofTheoreticalPhysics,TheChineseAcademyofSciences,Beijing100080

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-08-05

Abstract: We suggest a new method,named knitting ansatz,to generate solutions to Yang-Baxter equation with lower dimensional representations of braid group.To support our ansatz,we work out an example of a new 16×16 R-matrix constructed along this idea,with two 4×4 braid group representations of familiar 6-vertex type with different q-parameters.