Study of Higher Order Cumulant Expansion of <i>U</i>(l) Lattice Gauge Model at Finite Temperature

Zheng Xite; Lei Chunhong; Li Yuliang; Chen Hong

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> 1993, Vol. 17> Issue(S3) : 271-276

Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature

1 Physics Department Chengdu University of Science and Technology, Chengdu, Sichuan, China;
2 Physics Department, Fuzhou Teachers'College, Fuzhou, Fujian, China;
3 Physics Department, Chongqing Institute of Education, Chongqing, Sichuan. China

Abstract
HTML
Reference
Related

PDF

Abstract：
The order parameter, Polyakov line <L>, of the U/(l) gauge model on N_σ³×N_τ(N_τ=l) lattice by using the cumulant expansion is calculated to the 5-th order. Emphasis is placed on the behavior of the cumulant expansion in the intermediate coupling region. The necessity of higher order expansion is clarified from the connection between the cumulant expansion and the correlation length. The variational parameter in the n-th order calculation is determined by the requirement that corrections of the n-th order expansion to the zeroth order expansion should vanish. The agreement with the Monte Carlo simulation is obtained not only in the weak and strong coupling regions, but also in the intermediate coupling region expect in the very vicinity of the phase transition point.

[1]	M. Mohsenzadeh , E. Yusofi . Higher order corrections to asymptotic-de Sitter inflation. Chinese Physics C, 2017, 41(8): 085101. doi: 10.1088/1674-1137/41/8/085101
[2]	Yun-Guo Jiang , Jia-Zhen Liu , Song He . Near integrability of kink lattice with higher order interactions. Chinese Physics C, 2017, 41(11): 113107. doi: 10.1088/1674-1137/41/11/113107
[3]	Ling-Xiao Cui , Zhen Fang , Yue-Liang Wu . Finite temperature effect in infrared-improved AdS/QCD model with back reaction of bulk vacuum. Chinese Physics C, 2016, 40(6): 063101. doi: 10.1088/1674-1137/40/6/063101
[4]	Xue Pan , Li-Zhu Chen , Yuan-Fang Wu . Behavior and finite-size effects of the sixth order cumulant in the three-dimensional Ising universality class. Chinese Physics C, 2016, 40(9): 093104. doi: 10.1088/1674-1137/40/9/093104
[5]	WANG Rui , CHEN Ying , GONG Ming , LIU Chuan , LIU Yu-Bin , LIU Zhao-Feng , MA Jian-Ping , MENG Xiang-Fei , ZHANG Jian-Bo . Phase transition in finite density and temperature lattice QCD. Chinese Physics C, 2015, 39(6): 063103. doi: 10.1088/1674-1137/39/6/063103
[6]	LIU Jia , KANG Zhong-Bo , WANG En-ke . Recursive method for opacity expansion at finite temperature. Chinese Physics C, 2011, 35(1): 44-49. doi: 10.1088/1674-1137/35/1/010
[7]	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.
[8]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[9]	Hou Defu , Li Jiarong . Finite-Temperature Thermodynamic Potential of Two-loop QED and the Overlapping Divergences in Arbitrary Gauge. Chinese Physics C, 1995, 19(S4): 397-404.
[10]	Shen Kun , Qiu Zhongping . Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[11]	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.
[12]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[13]	Wang Enke , Li Jiarong . The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(S2): 193-200.
[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 , Liu Beishu . Analytical Treatment of SU(2)-Higgs System on Lattice at Finite Temperature. Chinese Physics C, 1990, 14(S4): 367-375.
[17]	Bi Pinzhen . Kaon Condensation at Finite Temperature. Chinese Physics C, 1989, 13(S1): 49-52.
[18]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[19]	Wang Enke , Li Jiarong . Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.
[20]	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.

Access

Get Citation

Zheng Xite, Lei Chunhong, Li Yuliang and Chen Hong. Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(S3): 271-276.

Zheng Xite, Lei Chunhong, Li Yuliang and Chen Hong. Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(S3): 271-276. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1992-07-06

Fund

Article Metric

Article Views(588)
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

Study of Higher Order Cumulant Expansion of U(l) Lattice Gauge Model at Finite Temperature

1 Physics Department Chengdu University of Science and Technology, Chengdu, Sichuan, China;
2 Physics Department, Fuzhou Teachers'College, Fuzhou, Fujian, China;
3 Physics Department, Chongqing Institute of Education, Chongqing, Sichuan. China

Received Date: 1992-07-06

Abstract: The order parameter, Polyakov line <L>, of the U/(l) gauge model on N_σ³×N_τ(N_τ=l) lattice by using the cumulant expansion is calculated to the 5-th order. Emphasis is placed on the behavior of the cumulant expansion in the intermediate coupling region. The necessity of higher order expansion is clarified from the connection between the cumulant expansion and the correlation length. The variational parameter in the n-th order calculation is determined by the requirement that corrections of the n-th order expansion to the zeroth order expansion should vanish. The agreement with the Monte Carlo simulation is obtained not only in the weak and strong coupling regions, but also in the intermediate coupling region expect in the very vicinity of the phase transition point.