A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories

Xue Shesheng

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> 1988, Vol. 12> Issue(S2) : 117-122

A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories

Xue Shesheng

Center of Theoretical Physics, CCAST (Worid Laboratory)
Institute of High Energy Physics, Academia Sinica, Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
By decomposing the distribution function of lattice gauge system into product of single link distribution functions, we obtained a mean field solution of the Fokker-Planck equation in Lattice Gauge Theories.

[1]	Ibrahim Sener . Self duality solution with a Higgs field. Chinese Physics C, 2018, 42(10): 103104. doi: 10.1088/1674-1137/42/10/103104
[2]	M. K. Tavassoly . Solution of the Schrödinger equation for a particular form of Morse potential using the Laplace transform. Chinese Physics C, 2013, 37(4): 043106. doi: 10.1088/1674-1137/37/4/043106
[3]	S. Zarrinkamar , A. A. Rajabi , B. H. Yazarloo , H. Hassanabadi . An approximate solution of the DKP equation under the Hulthén vector potential. Chinese Physics C, 2013, 37(2): 023101. doi: 10.1088/1674-1137/37/2/023101
[4]	SUN Zhi-Rui , PENG Jun , FU Shi-Nian . Matrix method for the solution of RF field perturbations due to local frequency shifts. Chinese Physics C, 2009, 33(9): 798-803. doi: 10.1088/1674-1137/33/9/018
[5]	XING Yong-Zhong . Analytical solution of a multidimensional Langevin equation at high friction limits and probability passing over a two-dimensional saddle. Chinese Physics C, 2009, 33(4): 269-273. doi: 10.1088/1674-1137/33/4/006
[6]	GE Jun , GUO Zhi-Yuan , LIN Yu-Zheng . Comparison between Fokker-Planck Equation and Vlasov Equation in the Research of the Mode Coupling Theory. Chinese Physics C, 2003, 27(3): 268-272.
[7]	Wu Jimin . Discussion on the Simulation Results About the Mass of Glueballs on Lattice Gauge Theory. Chinese Physics C, 1996, 20(S4): 333-338.
[8]	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.
[9]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-PIank Equation with Variation Method. Chinese Physics C, 1994, 18(Z1): 79-86.
[10]	Zhong Yunxiao , Hu Jimin . Fission Probability Calculation by Solving Fokker-Planck Equation With Variation Method. Chinese Physics C, 1994, 18(4): 340-346.
[11]	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.
[12]	Di Yaomin , Ha Yiming , Fu Deji , Xu Gongou . The Solution of Dynamical Equation of Motion of IBM-II in Continuous Variable Representation. Chinese Physics C, 1993, 17(S2): 133-142.
[13]	BAI Ge , YANG Wei , LI Jia-Rong . High Energy Unequal-nuclei Collisions and Relaxation Time in Fokker Plank Equation. Chinese Physics C, 1993, 17(1): 57-64.
[14]	Zheng Bo . A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling. Chinese Physics C, 1990, 14(S3): 249-254.
[15]	Zheng Bo , Guo Shuohong . Exact Solution for a 1 + 1 Dimensional Lattice U (1) Gauge Model. Chinese Physics C, 1990, 14(S2): 163-167.
[16]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[17]	SUN Zhe-Min , WU Xi-Zhen , FENG Ren-Fa , ZHUO Yi-Zhong , XING Jing-Ru , ZHANG Shu-Fa . ON RELIABILITY OF THE LOCALLY HARMONIC APPROXIMATION METHOD FOR SOLVING THE FOKKERPLANCK EQUATION. Chinese Physics C, 1989, 13(9): 833-836.
[18]	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.
[19]	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.
[20]	XUE She-Sheng . A MEAN FIELD SOLUTION TO FOKKER-PLANCK EQUATION IN LATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 178-181.

Access

Get Citation

Xue Shesheng. A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories[J]. Chinese Physics C, 1988, 12(S2): 117-122.

Xue Shesheng. A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories[J]. Chinese Physics C, 1988, 12(S2): 117-122. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-01-06

Article Metric

Article Views(457)
PDF Downloads(3)
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

A Mean Field Solution of the Fokker-Planck Equation in Lattice Gauge Theories

Xue Shesheng

Center of Theoretical Physics, CCAST (Worid Laboratory)
Institute of High Energy Physics, Academia Sinica, Beijing

Received Date: 1987-01-06

Abstract: By decomposing the distribution function of lattice gauge system into product of single link distribution functions, we obtained a mean field solution of the Fokker-Planck equation in Lattice Gauge Theories.