On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

ZHANG Chen-Jun

doi:10.1088/1674-1137/34/8/006

Chinese Physics C> 2010, Vol. 34> Issue(8) : 1069-1075 DOI: 10.1088/1674-1137/34/8/006

On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

ZHANG Chen-Jun ^,

Teaching and Research Section of Physics, Engineering College of CAPF, Xi'an 710086, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N×N square lattice is considered. We obtain the reduction formulae for the two-point boundary correlation functions of the model.
- gl(1 ,
- 1) supersymmetric vertex model;boundary correlation function;domain wall boundary conditions

References

[1]

. Korepin V E. Commun. Math. Phys., 1982, 86: 391-4182. Korepin V E, Bogoliubov N M, Izergin A G. Quantum In-verse Scattering Method and Correlation Functions. Cambridge: Cambridge University Press, 19933. Kitanine N, Maillet J M, Terras V. Nucl. Phys. B, 1999,554: 647-678; math-ph/98070204. ZHAO S Y, YANG W L, ZHANG Y Z. J. Math. Phys.,2006, 47: 0133025. ZHAO S Y, YANG W L, ZHANG Y Z. Commun. Math.Phys., 2006, 268: 505-5416. Bogoliubov N M, Pronko A G, Zvonarev M B. J. Phys. A:Math. Gen., 2002, 35: 5525-55417. Colomo F, Pronko A G. J. Stat. Mech., 2005, 0505: P050108. ZHANG Chen-Jun, ZHOU Jian-Hua, YUE Rui-Hong.Commun. Theor. Phys., 2008, 50(1): 17-229. ZHAO S Y, ZHANG Y Z. J. Math. Phys., 2007, 48: 023504

[1]	Yi Ling;Meng-He Wu;Yikang Xiao . Entanglement in simple spin networks with a boundary. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 13106-.
[2]	Linping Mu , Hiroshi Okada , Chao-Qiang Geng . A model with flavor-dependent gauged U(1)_B-L₁×U(1)_B-L₂-L₃ symmetry. Chinese Physics C, 2018, 42(12): 123106. doi: 10.1088/1674-1137/42/12/123106
[3]	HAN Jie , BAO Jing-Dong . Modified fusion probability by reflection boundary. Chinese Physics C, 2015, 39(5): 054104. doi: 10.1088/1674-1137/39/5/054104
[4]	ZHU Jun , ZHANG Huang , PENG Shi-Xiang , REN Hai-Tao , XIA Lian-Sheng , WANG Wen-Dou , YANG Zhi-Yong , SHEN Yi , SHI Jin-Shui , ZHANG Lin-Wen , DENG Jian-Jun . Beam transport design for a 1 MeV prototype dielectric wall accelerator. Chinese Physics C, 2014, 38(4): 047001. doi: 10.1088/1674-1137/38/4/047001
[5]	HU Ming-Liang , TIAN Dong-Ping . Bipartite entanglement in spin-1/2 Heisenberg model. Chinese Physics C, 2008, 32(4): 303-307. doi: 10.1088/1674-1137/32/4/013
[6]	Xi Xiaoqiang , Shi Kangjie , Hou Boyu , Fan Heng . Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[7]	Yue Ruihong , Liang Hong . Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[8]	Gao Xiaochun , Xu Donghui . Removability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(S3): 257-264.
[9]	Li Yuxiao , Shi Wanzhong , Liu Li . Non-contractable Loops and Sphalerons in 1+1-dimension U(1) Higgs Model. Chinese Physics C, 1994, 18(11): 1003-1011.
[10]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[11]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[12]	Liu Qingjun , Jiang Yuzhen , Wang Shan , Liu Yiming , J. Jiang , D. Keane , Y. Shao , S. Y. Chu , S. Y. Fung . n-Particle Transverse Correlation and Collectivity for 1.2 A GeV Ar + KC1 Collisions. Chinese Physics C, 1993, 17(S3): 291-296.
[13]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[14]	Hou Boyu , Shi Kangjie , Yue Ruihong . The Crossing Matrices and Correlation Function of SU_K(2) Wess-Zumino-Witten Model with Fractional Level. Chinese Physics C, 1992, 16(S2): 163-172.
[15]	Wang Shan , Liu Yiming , Jiang Yuzhen , Chen Xiaofan , D. Keane , S. Y. Fung , S. Y. Chu . Azimuthal Correlation Function and the Nuclear Equation of State. Chinese Physics C, 1990, 14(S4): 361-366.
[16]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[17]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[18]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[19]	Zheng Bo , Guo Shuohong . A Solvable 1 + 1 Dimensional U(l) gauge model. Chinese Physics C, 1990, 14(S1): 65-69.
[20]	Cao Zhijun , Shen Jianping , Li Guanglie . The Role of Nucleon-Nucleon Short-Range Correlations in the Nuclear Structure Function in the x > 1 Region. Chinese Physics C, 1989, 13(S3): 281-288.

Access

Get Citation

ZHANG Chen-Jun. On two-point boundary correlations of the gl(1|1) supersymmetric vertex model[J]. Chinese Physics C, 2010, 34(8): 1069-1075. doi: 10.1088/1674-1137/34/8/006

ZHANG Chen-Jun. On two-point boundary correlations of the gl(1|1) supersymmetric vertex model[J]. Chinese Physics C, 2010, 34(8): 1069-1075. doi: 10.1088/1674-1137/34/8/006 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-11-02
Revised: 2010-01-10

Article Metric

Article Views(2278)
PDF Downloads(424)
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

On two-point boundary correlations of the gl(1|1) supersymmetric vertex model

ZHANG Chen-Jun ^,

Corresponding author: ZHANG Chen-Jun,

Teaching and Research Section of Physics, Engineering College of CAPF, Xi'an 710086, China

Received Date: 2009-11-02
Accepted Date: 2010-01-10
Available Online: 2010-08-05

Abstract:

The gl(1|1) supersymmetric vertex model with domain wall boundary conditions (DWBC) on an N×N square lattice is considered. We obtain the reduction formulae for the two-point boundary correlation functions of the model.