Study of Higher Order Cumulant Expansion of U(1) 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(12) : 1076-1080

Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature

Physics Department,Chengdu University of Science and Technology,Chengdu 6100652 Physics Department,Fuzhou Teacher College,Fuzhou 3500053 Physics Department,Chongqing Institute of Education,Chongqing 630067

Abstract
HTML
Reference
Related

PDF

Abstract：
The order parameter,Polyakov line 〈L〉,of the U(1) gauge model on N3σ×N_τ(N_τ=1) lattice by using the cumulant expansion is calculated to the 5-th order.The emphasis is put on the behaviour 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 finish.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 except in the very vicinity of the phase transition point.

References

[1]

Zheng Xite and Chung- I Tan ,Chinese Phys. Lett. ,5(1988),457;Phys. Rev. ,D39(1989),623.[2]郑希特、任学藻，“有限温度格点U(1)规范理论计算”，高能物理与核物理，17(1993)134.[3]X. T. Zheng,C. - I Tan and T. L. Chen,Phys. Rev. ,D26(1982),2843.[4]S. S. Xue,T. C. Hsien and C. M. Wu,Phys. Lett. ,175B(1986),341;178B(1986),251.[5]W. Kerler,Phys. Rev. Lett. ,60(1988),1906; W. Kerler and L. Schlke,Phys. Lett.，201B(1988),123; L.Schlke , Phys. Lett. , 208B (1988) , 495.[6]W. Kerler , Phys. Rev. , D40 (1989 ) , 2085 ; W. Kerler and T. Metz , Phys. Rev. , D44 (1991) ,1263.[7]N. Bilic,H. Gausterer and S. Sanielevici,Phys. Lett. ,198B(1987),235.[8]B. Svetitsky , Phys. Rep. ,132 (1986 ) ,1.

[1]	HUI Ping . Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT. Chinese Physics C, 2005, 29(4): 345-349.
[2]	HU Lian , HUI Ping , CHEN Qi-Zhou . Glueball Masses of the 0⁺⁺ and 0^－－ in 3+1-D SU(3) LGT. Chinese Physics C, 2002, 26(8): 773-778.
[3]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[4]	Jiang Junqin , Luo Xiangqian . Study of the Vacuum State in (2+1)-Dimensional U(1) Lattice Gauge Theory. Chinese Physics C, 1999, 23(8): 774-783.
[5]	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.
[6]	Ren Xuezao , Zhu Yunlun , Chen Ying . Analytical study of Lattice U(1) and U(1)-Higgs Models at Finite Temperature With Symanzik Action. Chinese Physics C, 1998, 22(6): 492-498.
[7]	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.
[8]	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.
[9]	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.
[10]	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.
[11]	SHEN Kun , QIU Zhong-Ping . Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[12]	SHEN Kun , QIU Zhongping . Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[13]	ZHENG Xi-Te , REN Xue-Zao . Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[14]	ZHENG Bo . A(1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL AND THE FERMION SPECIES DOUBLING. Chinese Physics C, 1990, 14(4): 375-379.
[15]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[16]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[17]	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.
[18]	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.
[19]	GUO Shuo-Hong , CHEN Hao . EXACT RESULTS FOR THE TOPOLOGICAL CHARGE OF 1+1D LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(6): 844-848.
[20]	WU Ji-Min , ZHAO Pei-Ying . THE ANALYTIC RESULTS FOR U₁ AND SU₂ AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION. Chinese Physics C, 1986, 10(3): 297-307.

Access

Get Citation

ZHENG Xite, LEI Chunhong, LI Yuliang and CHEN Hong. Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(12): 1076-1080.

ZHENG Xite, LEI Chunhong, LI Yuliang and CHEN Hong. Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature[J]. Chinese Physics C, 1993, 17(12): 1076-1080. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3483)
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

Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature

Corresponding author: ZHENG Xite,

Physics Department,Chengdu University of Science and Technology,Chengdu 6100652 Physics Department,Fuzhou Teacher College,Fuzhou 3500053 Physics Department,Chongqing Institute of Education,Chongqing 630067

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-12-05

Abstract: The order parameter,Polyakov line 〈L〉,of the U(1) gauge model on N3σ×N_τ(N_τ=1) lattice by using the cumulant expansion is calculated to the 5-th order.The emphasis is put on the behaviour 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 finish.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 except in the very vicinity of the phase transition point.