EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS

ZHENG Bo

Chinese Physics C> 1989, Vol. 13> Issue(9) : 860-864

EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS

ZHENG Bo ^,

Zhongshan University,Guangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper string tensions of both the modified Naive and Susskind lattice Schwinger models which have the solvable exact ground states are calculated exaqctly.The linear potential between quark and antiquark infinitely seperated is derived for both Naive and Susskind lattice Schwinger models.No phase transition occurs when a tends to zero and this coincides with the continum theory.

References

[1]	郑波，“格点 Schwinger模型的准确基态”，投稿于《高能物理与核物理》; Zhene Bo,"The exact around state of laetice eauee theories", submitted to Phys, Rev. D.[2] A. Casher, J. Kogut and L. Susskind, Phys. Rev. D10(1974), 732; J.Kogut and L, Susskind, Phys, Rev.D11(1975), 3594.[3] L. Susskind, Phys. Rev. D16(1977), 3031.

[1]	LIU Da-Qing , WU Ji-Min , CHEN Ying . New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses. Chinese Physics C, 2002, 26(3): 222-229.
[2]	Wu Jimin . A Discussion About Recent Numerical Results From the Calculation of the Glueball Masses on Lattice Gauge Theory. Chinese Physics C, 1996, 20(10): 894-899.
[3]	Yang Kongqing . String Tension of Cosmic Strings. Chinese Physics C, 1996, 20(2): 138-141.
[4]	Zheng Xite , Chen Hong , Lu Zao , He Yuan . Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[5]	Shi Kangjie , Yang Wenli , Hou Boyu , Fan Heng . q-deformed Quantum Affine Algebra in Z_n Lattice Model. Chinese Physics C, 1995, 19(3): 229-240.
[6]	Liu Beishu , Zheng Xite . Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[7]	Hu Zhanning . Three-Dimensional Exactly Solvable Model With Cubic Lattice. Chinese Physics C, 1994, 18(9): 813-820.
[8]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[9]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[10]	CHEN Qi-Zhou , FANG Xi-Yan , XU Guo-Cai , LIU Jin-Ming , LUO Xiang-Qian . Variational Study of. Chinese Physics C, 1991, 15(6): 518-523.
[11]	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.
[12]	CHEN Qi-Zhou , LI Zhi-Bing , LUO Xiang-Qian , DAI Fu-Hua , GUO Shuo-Hong . VACUUM EXPECTATION VALUES OF 6-LINK WILSON LOOP IN SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1990, 14(3): 212-219.
[13]	RUAN Jie , JING Si-Cong . THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS. Chinese Physics C, 1990, 14(10): 882-891.
[14]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[15]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[16]	Zheng Bo . Exact Ground State of Lattice Schwinger Model. Chinese Physics C, 1989, 13(S3): 259-262.
[17]	ZHENG Bo , GUO Shuo-Hong . AN EXACT SOLUTION OF THE NAIVE SCHWINGER MODEL ON LATTICE. Chinese Physics C, 1989, 13(8): 696-700.
[18]	ZHENG Bo . THE EXACT GROUND STATE AND STRING TENSION OF MASSIVE LATTICE SCHWINGER MODELS. Chinese Physics C, 1989, 13(10): 956-960.
[19]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[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 TENSIONS OF LATTICE SCHWINGER MODELS[J]. Chinese Physics C, 1989, 13(9): 860-864.

ZHENG Bo. EXACT CALCULATION OF STRING TENSIONS OF LATTICE SCHWINGER MODELS[J]. Chinese Physics C, 1989, 13(9): 860-864. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2300)
PDF Downloads(437)
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 TENSIONS OF LATTICE SCHWINGER MODELS

ZHENG Bo ^,

Corresponding author: ZHENG Bo,

Zhongshan University,Guangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-09-05

Abstract: In this paper string tensions of both the modified Naive and Susskind lattice Schwinger models which have the solvable exact ground states are calculated exaqctly.The linear potential between quark and antiquark infinitely seperated is derived for both Naive and Susskind lattice Schwinger models.No phase transition occurs when a tends to zero and this coincides with the continum theory.