A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion

LU Qiang; LI Hong; CHEN Tian-Lun

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> 2001, Vol. 25> Issue(2) : 95-100

A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion

Department of Physics, Nankai University, Tianjin 300071, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on Variational-cumulant expansion (VCE), through calculating Polyakov line in the SU(2) gauge model at finite temperature and considering the similarity of finite size interaction in VCE method with the finite volume effect in Monte Carlo (MC) simulation, a new approach is adopted to determine the critical couplings for the deconfinement phase transition. New results of VCE which are close to MC data manifest that new approach is much more effective than the traditional one and show that VCE analysis is consistent with MC simulation.

References

[1]

l Hartmut, H. hep–lat/9911400 2 Frithjof K. hep–lat/99090063 LUO Xiang–Qian. HEP NP, 1999, 23: 188(in Chinese)(罗向前.高能物理与核物理,1999,23:188) 4 TAN C I, ZHENGXT. Phys. Rev., 1989, D39:623;HUANG LX,CHEN T L. Commun. Theor. Phys. (Beijing,China), 1995, 23:4815 YANGJ M, WAN L D, WU C M. Commun Theor. Phys. (Beijing, China), 1990,14:379; LU Q, CHEN T L, LiH. Commun. Theor. Phys. (Beijing, China), 2000,33:297; CHEN Tan–Lun, SUO Chun–Chuan. High EnergyPhys. and Nucl. Phys., 1986, 10: 158 (in Chinese)(陈天仓,索存川,高能物理与核物理,1986,10:158)6 Satz H. Phys. Rep., 1982,88:349; Svetitsky B. Phys. Rep., 1986, 132:1 7 LIU R J, CHEN T L. Commun. Theor. Phys. (Beijing China), 1995, 23:378 Engels J, Fingberg J, Weber M. Nucl. Phys., 1990, B332:737; Engels J, Fingberg J, Miller D E. Nucl. Phys.,1992, B387: 5019 Fingberg J, Heller U, Karsch F. Nucl. Phys., 1993, B392:493 10 Curci G, Tripiccione R. Phys. Lett., 1985, B151: 14511 Cella G, Curci G, Tripiccione R et al. Phys. Rev., 1994, D49:511

[1]	, , . Approaches to eliminate near field artifact of MURA. Chinese Physics C, 2008, 32(1): 80-82. doi: 10.1088/1674-1137/32/1/018
[2]	HUANG Xiao-Long , WANG Bao-Song . A Method of Evaluating Discrepant Data. Chinese Physics C, 2007, 31(7): 629-633.
[3]	CAI Xiao-Lin , WANG Xiao-Hui , WANG Zhan-Yun , SONG Pei , SHI Kang-Jie . A New KRR Parametrising Method of Superstring Models of AdS₅\otimes S¹, AdS₅\otimes S⁵and AdS₂\otimes S². Chinese Physics C, 2006, 30(12): 1156-1164.
[4]	Sayipjamal Dulat , LIU Bo-Chao , ZOU Bing-Song , WU Ji-Min , . Covariant Tensor Formalism for Partial Wave Analyses of ψ Decays into γBB. Chinese Physics C, 2006, 30(4): 277-283.
[5]	SUN Tian-Xi , DING Xun-Liang , LIU Zhi-Guo , WANG Da-Chun . New Method of Measuring the Properties of Polycapillary X-Ray Lens. Chinese Physics C, 2005, 29(10): 1017-1022.
[6]	ZHU Cheng-Guang , CHEN Ting-Yang , ZHANG Nai-Jian , HE Mao . A New Approach of the Kinematic Fit. Chinese Physics C, 2003, 27(5): 440-444.
[7]	WANG Lan-Fa . Comments on Variational Method Used in Accelerating Structure. Chinese Physics C, 2002, 26(1): 74-78.
[8]	HUANG GuangShun , CHENG BaoSen , YUAN ChangZheng , LI XinHua , QIXiangRong , LIU Jing , CHEN GuangPei , CHEN JiangChuan , HU HaiMing , HU Tao , JU Xin , LI Jin , MAO ZePu , XUE ShengTian , ZHANG LiangSheng , ZHENG ZhiPeng , ZHOU Li , ZHAO ZhengGuo . New Methods to Measure Integrated Luminosity at BES. Chinese Physics C, 2000, 24(5): 373-378.
[9]	HUI Ping . Improvement of the Coupled Cluster Method. Chinese Physics C, 2000, 24(6): 490-494.
[10]	Liu Jing , Mao Zepu , Li Weiguo , Zhang Changchun , Chen Guangpei , Yan Wugung , Li Peiqin , Rong Gang , Zhao Haiwen , Xie Yu . A New Method of Track Finding and Fitting in Main Drift Chamber of BES-Ⅱ. Chinese Physics C, 1998, 22(7): 587-595.
[11]	Wang Yunyong , Wang Linzhou , Sun Hansheng , Hu Tao , Xu Zhiqing , Xie Dong . A New Method of Gas Mixture Preparation for Nuclear Detector Use. Chinese Physics C, 1994, 18(1): 1-5.
[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]	XU Guocai , JIANG Junqin , CHEN Qizhou . Variational Study of 〈ψψ〉 in the Lattice Schwinger Model with Wilson Fermions. Chinese Physics C, 1993, 17(11): 1011-1015.
[14]	CHEN Qi-Zhou , ZHENG Wei-Hong , LUO Xiang-Qian , FANG Xi-Yan . Variational Study of <ψψ> in the Lattice Schwinger Model. Chinese Physics C, 1991, 15(1): 23-28.
[15]	DUAN Yi-Wu , WU Wei-Ping , BAO Cheng-Guang , AN Wei-Ke . The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems. Chinese Physics C, 1991, 15(1): 42-45.
[16]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[17]	YU Hong . A NEW METHOD FOR THE DETERMINATION OF THE SPIN OF ξ(2230). Chinese Physics C, 1989, 13(1): 87-91.
[18]	WU Ji-Min . ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE. Chinese Physics C, 1989, 13(9): 789-795.
[19]	LI Wen-Zhu , ZHANG Jian-Bo . VARIATIONAL ANALYSIS OF CUMULANT EXPANSION IN SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1988, 12(5): 608-615.
[20]	HE Xiang-Hao , XIAN Ding-Chang , SONG Yong-Shen . A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY. Chinese Physics C, 1985, 9(5): 629-634.

Access

Get Citation

LU Qiang, LI Hong and CHEN Tian-Lun. A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion[J]. Chinese Physics C, 2001, 25(2): 95-100.

LU Qiang, LI Hong and CHEN Tian-Lun. A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion[J]. Chinese Physics C, 2001, 25(2): 95-100. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2000-03-13
Revised: 1900-01-01

Article Metric

Article Views(2626)
PDF Downloads(660)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion

Corresponding author: LU Qiang,

Department of Physics, Nankai University, Tianjin 300071, China

Received Date: 2000-03-13
Accepted Date: 1900-01-01
Available Online: 2001-02-05

Abstract: Based on Variational-cumulant expansion (VCE), through calculating Polyakov line in the SU(2) gauge model at finite temperature and considering the similarity of finite size interaction in VCE method with the finite volume effect in Monte Carlo (MC) simulation, a new approach is adopted to determine the critical couplings for the deconfinement phase transition. New results of VCE which are close to MC data manifest that new approach is much more effective than the traditional one and show that VCE analysis is consistent with MC simulation.