Exact Calculation of String Tension in Lattice Schwinger Model

Zheng Bo

Chinese Physics C> 1989, Vol. 13> Issue(S3) : 253-258

Exact Calculation of String Tension in Lattice Schwinger Model

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
The string tension of the infinite string in the lattice Schwinger model is precisely calculated with the Hamiltonian which has the solvable exact ground state. The result shows that in the lattice Schwinger model, one can obtain the linear confinement potential and no phase transition occurs when a approaches zero. This result coincides with that obtained in the continuum theory.

[1]	J. B. Wei , H. Chen , H. -J. Schulze . Two-flavor hybrid stars with the Dyson-Schwinger quark model. Chinese Physics C, 2017, 41(11): 115101. doi: 10.1088/1674-1137/41/11/115101
[2]	ZHENG Na , XU Hai-Bo . Transmission calculation by empirical numerical model and Monte Carlo simulation in high energy proton radiography of thick objects. Chinese Physics C, 2015, 39(10): 108201. doi: 10.1088/1674-1137/39/10/108201
[3]	XU Xiao-Mei , FU Yong-Ping , LI Yun-De . η string formation in QCD chiral phase transition. Chinese Physics C, 2010, 34(4): 444-447. doi: 10.1088/1674-1137/34/4/004
[4]	ZHANG Gao-Long , LE Xiao-Yun . Calculation of α decay half-lives for superheavy elements using the double folding model. Chinese Physics C, 2009, 33(5): 354-358. doi: 10.1088/1674-1137/33/5/007
[5]	Yang Kongqing . String Tension of Cosmic Strings. Chinese Physics C, 1996, 20(2): 138-141.
[6]	Zhang Changhua , Gu Jinnan . Shell Model Calculation for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(S2): 165-170.
[7]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[8]	Zheng Xite , Lei Chunhong , Li Yuliang , Chen Hong . Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(S3): 271-276.
[9]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[10]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[11]	RUAN Jie , JING Si-Cong . THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS. Chinese Physics C, 1990, 14(10): 882-891.
[12]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[13]	Zou Bingsong , Jiang Huanqing . A Quark Model Calculation for the Short-Range Contribution in the Prion Double-Charge-Exchange Reaction. Chinese Physics C, 1989, 13(S4): 405-414.
[14]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[15]	Chen Tianlun . β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S4): 393-398.
[16]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[17]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[18]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[19]	Zheng Bo . Exact Ground State and String Tension in Massive Lattice Schwinger Model. Chinese Physics C, 1989, 13(S4): 379-384.
[20]	XUE She-Sheng , XIAN Ding-Chang . THE STOCHASTIC EQUATIONS IN THE LATTICE GAUGE FIELD THEORY AND THE SCHWINGER-KYSON EQUATION FOR THE WILSON LOOP VARIABLE. Chinese Physics C, 1985, 9(6): 703-711.

Access

Get Citation

Zheng Bo. Exact Calculation of String Tension in Lattice Schwinger Model[J]. Chinese Physics C, 1989, 13(S3): 253-258.

Zheng Bo. Exact Calculation of String Tension in Lattice Schwinger Model[J]. Chinese Physics C, 1989, 13(S3): 253-258. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-04-10

Article Metric

Article Views(532)
PDF Downloads(7)
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

Exact Calculation of String Tension in Lattice Schwinger Model

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1989-04-10

Abstract: The string tension of the infinite string in the lattice Schwinger model is precisely calculated with the Hamiltonian which has the solvable exact ground state. The result shows that in the lattice Schwinger model, one can obtain the linear confinement potential and no phase transition occurs when a approaches zero. This result coincides with that obtained in the continuum theory.