ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY

CHEN De-Fang; SONG Yong-Shen; CHEN Tian-Lun; ZHENG Xi-Te; HE Xiang-Hao; XIAN Ding-Chang

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(1) : 32-39

ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY

Abstract
HTML
Reference
Related

PDF

Abstract：
The relation between the saddle point approximation and the action variational method in the lattice gauge field theory is discussed. It is expounded that in the thermodynamical limit by using a trial action composed of mean fields, the variational approach leads to the results as well as the higher order corrections obtained in the saddle point approximation. It is also pointed out that order by order corrections to the variational approach can be worked out systematically in an improved variational approach.

References

[1]

K. Wilson, Phys. Rev, D10(1974), 2445.[2] Creutz, L. Jambs, and C. Rebbi, Phys. Reports, 95(1983), 201.[3] R. P. Feynman, and A. R. Hibbs "Quantum Mecanics and Path Integrals"; chap. 11, (NewYork, McGraw-Hill, 1965) .[4] J. M. Drouffe, Nucl. Phys, B170 [FSl](1980), 211; E. Brézín, and J. M. Drouffe, Nucl. Phys,B200[FS4](1982), 93.[5] J. M. Drouffe, and J. B. Zuber, Phys. Reports, 102(1983), 1.[6] K. Huang, "Statistical Mechanics", Chap. 9, (Cambridge, Massachusetts, 1963).[7] V. Alessandrini, V. Hakim, and A. Krzywicla, Nucl. Phys. B215 (FS7) (1983), I09; J. M. AIberty,H. FFyvbjerg, and B. Lautrup, Nucl. Phys, 8200 [FS8] (1983), 61.[8] Chen. T.-1, C. I. Tan; and Zheng X t., Phys. Lett, 109B(1982), 383; Zheng X.t, C. I. Tan and Chen T.1, Phys. Rev, D26(1982), 2843.[9] C.-T. Tan and Zheng X. t, Phys. Rev, D28 (1983), 3141.[10] S. H. Guo, Q. z. Chen, and J. m. Liu, Comm.Theor. Phys, (Beijing)6(1983), 346.[11] L. E. Reichl, "A Modern Course in Statistical Physics", Chap, 5, (University of Texas Press,Austin, 1980) .[12] X. T. Zheng, T. L. Chen and T. C. Hsien, Phys. Letts. 154B(1985), 166; X. H. He, Y. X.song and T. C. Hsien, Phys. Letts, 133B(1985), 417.

[1]	JIANG Jun-Qin . Vector Meson Masses in Two-dimensional SU(NC) Lattice Gauge Theory with Massive Quarks. Chinese Physics C, 2008, 32(1): 9-12. doi: 10.1088/1674-1137/32/1/002
[2]	Ren Xuezao , Chen Ying , Zhu Yunlun . Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[3]	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.
[4]	Zhao Peiying , Wu Jimin . Phase Structure of U(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[5]	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.
[6]	Liu Wensheng , Cui Jianying , Yang Jinmin , Wan Lingde . The Phase Tansitions in Abelian Lattice Gauge Theories at Finite Temperature:An Analytical Analysis. Chinese Physics C, 1994, 18(11): 996-1002.
[7]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[8]	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.
[9]	ZHENG Xi-Te , XU Yong . ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[10]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[11]	LUO Xiang-Qian , HE Bao-Peng , CHEN Qi-Zhou , LI Zhi-Bing , GUO Shuo-Hong . ΔI=1/2 RULE IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(4): 477-483.
[12]	WANG Jie , YAN Zu-Guo , ZHENG Xi-Te . ANALYTICAL STUDY OF U(1)-HIGGS SYSTEM ON A LATTICE. Chinese Physics C, 1988, 12(3): 329-335.
[13]	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.
[14]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[15]	CHEN Hao , GUO Shuo-Hong . ADLER-BELL-JACKIW ANOMALY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(6): 666-676.
[16]	LI Wen-Zhu , ZHANG Jian-Bo , JI Da-Ren . MEAN FIELD STUDY AND UNIVERSALITY IN LATTICE GAUGE THEORY. Chinese Physics C, 1986, 10(2): 164-169.
[17]	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.
[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]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[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

CHEN De-Fang, SONG Yong-Shen, CHEN Tian-Lun, ZHENG Xi-Te, HE Xiang-Hao and XIAN Ding-Chang. ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY[J]. Chinese Physics C, 1986, 10(1): 32-39.

CHEN De-Fang, SONG Yong-Shen, CHEN Tian-Lun, ZHENG Xi-Te, HE Xiang-Hao and XIAN Ding-Chang. ON THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY[J]. Chinese Physics C, 1986, 10(1): 32-39. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2689)
PDF Downloads(488)
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 THE ANALYTICAL STUDY IN LATTICE GAUGE FIELD THEORY

Corresponding author: CHEN De-Fang,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-02-05

Abstract: The relation between the saddle point approximation and the action variational method in the lattice gauge field theory is discussed. It is expounded that in the thermodynamical limit by using a trial action composed of mean fields, the variational approach leads to the results as well as the higher order corrections obtained in the saddle point approximation. It is also pointed out that order by order corrections to the variational approach can be worked out systematically in an improved variational approach.