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]	JIANG Jun-Qin. Mass Gap and Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(2): 115-118.
[2]	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.
[3]	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.
[4]	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.
[5]	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.
[6]	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.
[7]	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.
[8]	Zhao Peiying,Wu Jimin. Phase Structure ofU(1) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(2): 124-130.
[9]	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.
[10]	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.
[11]	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.
[12]	ZHENG Xi-Te,REN Xue-Zao. Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[13]	ZHENG Xi-Te,LIU Bei-Shu. ANALYTICAL TREATMENT OF SU(2)-HIGGS SYSTEM ON LATTICE AT FINITE TEMPERATURE. Chinese Physics C, 1990, 14(10): 892-899.
[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]	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.
[18]	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.
[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 FORU₁ANDSU₂AVERAGE 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(4470)
PDF Downloads(489)
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.