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

LU Qiang; LI Hong; CHEN Tian-Lun

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《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

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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

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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

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Received: 2000-03-13
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

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.