Knitting Ansatz and Solutions to Yang-Baxter Equation

Zhang Jun; Guo Hanying; Yan Hong

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]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[2]	JIA Duojie , LI Xi-Guo . Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing. Chinese Physics C, 2003, 27(4): 293-298.
[3]	ZOU Peng-Cheng . Reply to 《Comment on “The Proof of Irreducibility Postulation and Its Applications”》. Chinese Physics C, 2001, 25(9): 937-939.
[4]	YANG ZhanYing , ZHAO Liu , ZHEN Yi . Exact Solution of Super Liouville Model. Chinese Physics C, 2000, 24(2): 91-97.
[5]	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.
[6]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[7]	Zhao Liu . Hamiltonian Reductions of Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(2): 119-126.
[8]	Zhao Liu . Supersymmetric Self-Dual Yang-Mills Fields. Chinese Physics C, 1994, 18(1): 20-26.
[9]	Bian Jianguo , Huang Tao . Pseudo-Scalar Meson Solutions of the Equal-Time Equation IN QCD. Chinese Physics C, 1994, 18(2): 127-136.
[10]	DING Lin-Kai , CHI Xin-Yu , ZHU Qing-Qi , JING Cai-Liu , JING Gui-Ru . A MONTE-CARLO GENERATOR OF CHOU-YANG GEOMETRICAL MODEL. Chinese Physics C, 1988, 12(6): 731-736.
[11]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.
[12]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[13]	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.
[14]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[15]	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.
[16]	PENG SHOU-LI , ZHAO SHU-SONG . GENERAL ANALYTIC SOLUTIONS OF THE THREE DIMENSIONAL ELECTRON SHOWER EQUATIONS IN THE NON-HOMOGENEOUS MEDIUM. Chinese Physics C, 1981, 5(1): 47-54.
[17]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[18]	Li Bing-an , Xian Ding-chang , Yan Su , Chen Tian-lun , Yang Qing-zhu , Lu Jing-fa . THE INFLUENCE OF THE SELF-ENERGY DIAGRAMS ON THE SOLUTIONS OF A SCALAR BETHE SALPETER EQUATION. Chinese Physics C, 1980, 4(1): 33-42.
[19]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[20]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.

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(2787)
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.