Analytic Study of <i>SU</i>(3) Lattice Gauge Theory

Zheng Xite; Xu Yong

Chinese Physics C> 1989, Vol. 13> Issue(S3) : 249-252

Analytic Study of SU(3) Lattice Gauge Theory

Zheng Xite ¹ ,
Xu Yong ²

1. Chengdu University of Science and Technology, Chengdu;
2. Southwestern Jiaotong University, Chengdu

Abstract
HTML
Reference
Related

PDF

Abstract：
The variational-cumulant expansion method is generalized to the case of the lattice SU(3) Wilson model. The plaquette energy as an order parameter is calculated to the 2nd order expansion. The result shows that the 1st order phase transition is not observed in the four-dimension case, which agrees with the result from the Monte Carlo calculation, but is clearly seen in the five-dimension case. This method can be used to study the problems in the lattice gauge theory with the SU(3) gauge group.

[1]	Wu Jimin . Discussion on the Simulation Results About the Mass of Glueballs on Lattice Gauge Theory. Chinese Physics C, 1996, 20(S4): 333-338.
[2]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[3]	Zhao Peiying , Wu Jimin . Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(S1): 47-54.
[4]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[5]	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.
[6]	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.
[7]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[8]	Liu Jinming , Gong Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(S1): 45-52.
[9]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
[10]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[11]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[12]	Chen Qizhou , Liu Jinming , Xue Xun , Zheng Weihong , Guo Shuohong . The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion. Chinese Physics C, 1989, 13(S4): 371-378.
[13]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[14]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[15]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[16]	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.
[17]	HE Xiang-Hao , Xian Ding-Chang . VARIATIONAL ANALYSIS OF THE PHASE STRUCTURE OF THE SU(3) LATTICE GAUGE THEORY WITH A MIXED FUNDAMENTAL-ADJOINT ACTION. Chinese Physics C, 1985, 9(1): 120-124.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[19]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[20]	CHEN Tian-Lun , Zhou Hong-Mo , LI Tie-Zong , XIAN Ding-Chang , ZHENG Xi-Te . VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY. Chinese Physics C, 1984, 8(5): 653-656.

Access

Get Citation

Zheng Xite and Xu Yong. Analytic Study of SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1989, 13(S3): 249-252.

Zheng Xite and Xu Yong. Analytic Study of SU(3) Lattice Gauge Theory[J]. Chinese Physics C, 1989, 13(S3): 249-252. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1988-07-09

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(1335)
PDF Downloads(5)
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

Analytic Study of SU(3) Lattice Gauge Theory

Zheng Xite ^1,
Xu Yong ^2,

1. Chengdu University of Science and Technology, Chengdu;
2. Southwestern Jiaotong University, Chengdu

Received Date: 1988-07-09

Fund Project: Supported by the National Natural Science Foundation of China.

Abstract: The variational-cumulant expansion method is generalized to the case of the lattice SU(3) Wilson model. The plaquette energy as an order parameter is calculated to the 2nd order expansion. The result shows that the 1st order phase transition is not observed in the four-dimension case, which agrees with the result from the Monte Carlo calculation, but is clearly seen in the five-dimension case. This method can be used to study the problems in the lattice gauge theory with the SU(3) gauge group.