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

Abstract
HTML
Reference
Related

PDF

Abstract：
We take lattice φ ⁴theory 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 ofU(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]	LI Wen-Zhu,ZHANG Jian-Bo,DONG Shao-Jing. MONTE CARLO STUDY OFSU(2) GROUP SPACE DECIMATION EFFECTIVE ACTION. Chinese Physics C, 1987, 11(4): 462-468.
[14]	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.
[15]	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.
[16]	CHEN Tian-Lun,SUO Cun-Chuan. VARIATIONAL ANALYSIS OF PHASE STRUCTURE OF THESU(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-DIMENSIONALSU(5) LATTICE GAUGE THEORY. Chinese Physics C, 1985, 9(1): 34-40.
[19]	LI Wen-Zhu,DONG Shao-Jing. MONTE CARLO STUDY OFSU(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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3691)
PDF Downloads(408)
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

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 φ⁴theory as an example to illustrate one of the principles for the choice of the trial action in variational-cumulant expansion approach on lattice.