ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE

WU Ji-Min

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(9) : 789-795

ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE

WU Ji-Min ^,

Institute of High Energy Physics,Academia Sinica,Beijing

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Abstract：
We take lattice φ⁴ theory as an example to illustrate one of the principles for the choice of the trial action in variational-cumulant expansion approach on lattice.

References

[1]

K .G. Wilson, Phys. Rev. D10(1974), 2445.[2] 可见K. G. Wilson, Rev. Mod. Phys.,55 (1983)，583.以及其所引文献.[3] K. Huang, E. Manousakis and J. Polonyi, Phys. Rev., p35(1987),3187.[4] 吴济民、赵佩英，高能物理与核物理，10(1986),297.[5] 吴济民、赵佩英，BIHEP-TH-88-30.[6] C. M. Wu, Z. K. Zhu, P. Y. Zhao; Y. S: Song; S. J. Dong, H. P. Ying; S. S. Xue, BIHEP-TH-88-29.[7] 吴济民、杨金民、李文雄定模Z2-Higgs模型(准备中).

[1]	LIU Da-Qing , WU Ji-Min , CHEN Ying . New Approach to Constructing the Operator on the Lattice for the Calculation of the Glueball Masses. Chinese Physics C, 2002, 26(3): 222-229.
[2]	LU Qiang , LI Hong , CHEN Tian-Lun . A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion. Chinese Physics C, 2001, 25(2): 95-100.
[3]	HUI Ping . Improvement of the Coupled Cluster Method. Chinese Physics C, 2000, 24(6): 490-494.
[4]	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.
[5]	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.
[6]	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.
[7]	LIU Jin-Ming , GONG Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(2): 128-133.
[8]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[9]	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.
[10]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[11]	CHEN Qi-Zhou , LIU Jin-Ming , XUE Xun , ZHENG Wei-Hong , GUO Shuo-Hong . THE MEAN-PLAQUETTE INTERNAL ENERGY FOR SU(3) GAUGE THEORY IN CUMULANT EXPANSION. Chinese Physics C, 1989, 13(10): 900-906.
[12]	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.
[13]	GAO Hong-Bo , SUN Yi . THE LOCALLY PRODUCT STRUCTURE OF INTERNAL SPACE AND SOME OF THE PROPERTIES IN HETEROTIC STRING ACTION. Chinese Physics C, 1987, 11(5): 614-619.
[14]	LI Wen-Zhu , ZHANG Jian-Bo , DONG Shao-Jing . MONTE CARLO STUDY OF SU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[15]	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.
[16]	CHEN Tian-Lun , SUO Cun-Chuan . VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THE SU(2) LATTICE GAUGE THEORY WITH AN ACTION INCLUDING SIX-LINK LOOPS. Chinese Physics C, 1986, 10(2): 158-163.
[17]	XUE She-Sheng , XIAN Ding-Chang . A LOCALLY GAUGE INVARIANT MEAN FIELD STUDY OF THE Yang-Mills-Higgs FIELD COUPLING SYSTEM ON LATTICE. Chinese Physics C, 1985, 9(2): 174-182.
[18]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF MANTON'S ACTION FOR FOUR-DIMENSIONAL SU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[19]	LI Wen-Zhu , DONG Shao-Jing . MONTE CARLO STUDY OF SU(3) LATTICE GAUGE THEORY FOR TWO ALTERANTIVE ACTIONS. Chinese Physics C, 1985, 9(4): 502-504.
[20]	ZHOU Guang-Zhao , GUO Han-Ying , WU Ke , SONG Xing-Chang . ON THE GAUGE INVARIANCE OF WESS-ZUMINO-WITTEN EFFECTIVE ACTION. Chinese Physics C, 1984, 8(2): 252-256.

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WU Ji-Min. ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE[J]. Chinese Physics C, 1989, 13(9): 789-795.

WU Ji-Min. ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE[J]. Chinese Physics C, 1989, 13(9): 789-795. 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

ON THE CHOICE OF THE TRIAL ACTION IN VARIATIONAL CUMULANT EXPANSION APPROACH ON LATTICE

WU Ji-Min ^,

Corresponding author: WU Ji-Min,

Institute of High Energy Physics,Academia Sinica,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-09-05

Abstract: We take lattice φ⁴ theory as an example to illustrate one of the principles for the choice of the trial action in variational-cumulant expansion approach on lattice.