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

ZHENG Xite; LEI Chunhong; LI Yuliang; CHEN Hong

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《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

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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

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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.

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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

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

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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.