MONTE CARLO RENORMALIZATION GROUP STUDY OF φ<SUP>4</SUP> MODEL

LI Zhi-Bing; ZHONG Chao-Wu; CHEN Tian-Lun; HUANG Wu-Qun

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> 1988, Vol. 12> Issue(1) : 23-27

MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴ MODEL

Nankai University,Tianjin

Abstract
HTML
Reference
Related

PDF

Abstract：
The Monte Carlo renormalization group method proposed by Callaway is applied to φ⁴ model on two dimensional triangle lattice.The flow diagram,fixed point and critical exponent are determined,There is no fixed point in the range of 0.1<λ<10⁹.The large λ limit,as expected,is consistent with the Ising model.

References

[1]

S -K. Ma, Phys. Rev. Lett., 37(1976), 461.[2] R. H. Swendsen, Phys. Rev. Lett., 42(1979), 859.[3] R. H. Swendsen, Phys. Rev. Lett., 52(1984), 1165.[4] M. Creutz, et al., Phys. Reu. Lett., 53(1984), 875.[5] D. J. E. Callaway, R. Petronzio, Phys. Lett., B139(198?), 189.[6] M. Aizenmann, Phys. Rev. Lett., 47(1981), 1.[7] D. J. E. Callaway, R. Petronzio, Ref. TH. 3844CERN(1984).[8] A. Guha, M. Okawa, Phys. Rev., D31(1985), 2649.[9] 黄五群, 陈天老, 钟朝武及李志兵, 高能物理与核物理, 11(1987),563.

[1]	SHAN Qing , WU Jian , WANG Xiao-Lian , CHEN Hong-Fang , ZHANG Yi-Fei , ZHANG Zi-Ping , SHAO Ming . Upper Limit of the Yield of Di-Omega in Central Au-Au Collision at Snn=200GeV with HIJING. Chinese Physics C, 2005, 29(12): 1146-1149.
[2]	XU Ming-Mei . A Monte Carlo Study on Event-by-Event Transverse Momentum Fluctuation at RHIC. Chinese Physics C, 2005, 29(9): 892-895.
[3]	QIU You-Heng , DENG Li , YING Yang-Jun . Mix Mesh Sizes Arithmetic Research of BNCT Dose Rate Calculations by Monte Carlo Method. Chinese Physics C, 2004, 28(6): 669-674.
[4]	XING Xiu-Wen , ZHONG Wei-Li , LIU Lian-Shou . A Monte Carlo Study of the Fractal Property inside Jets Produced in High Energy e⁺e^－ Collisions. Chinese Physics C, 2003, 27(2): 95-98.
[5]	RUAN LI-Juan , SHAO Ming , CHEN Hong-Fang , LI Cheng , WANG Xiao-Lian , WU Jian , XU Zl-Zong , HUANG Sheng-Li . A Monte Carlo Simulation of Multi-gap Resistive Plate Chamber and Comparison with Experimental Results. Chinese Physics C, 2003, 27(8): 712-715.
[6]	ZHANG Kun-Shi , YIN Jian-Wu , CHEN Gang , LIU Chao , LIU Lian-Shou . Monte Carlo Study for the Dynamical Fluctuations Inside a Single Jet in 2-Jet Events. Chinese Physics C, 2002, 26(2): 158-163.
[7]	ZHANG Kun-Shi , CHEN Gang , YU Mei-Ling , LIU Lian-Shou . Monte Carlo Study on the Properties of Gluon and Quark Jets. Chinese Physics C, 2002, 26(11): 1110-1116.
[8]	GUO Yuan-Yuan , ZENG Jie , YIN Jian-Wu . Monte Carlo Study of the Dynamical Fluctuation Properties inside Jets in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2001, 25(11): 1084-1088.
[9]	SHAO Ming , LIU Yan-Wen , ZHANG Zi-Ping , CHEN Hong-Fang . Study on Light Collection Uniformity of Long Lead Tungstate Crystal by Monte Carlo Method. Chinese Physics C, 2001, 25(1): 50-56.
[10]	LV Yan , YANG Li-Jian , YANG Li-Ping , MAO Tian . Monte Carlo Study of the Properties of Jets in High Energy Hadron-Hadron Collisions. Chinese Physics C, 2001, 25(11): 1077-1083.
[11]	HAN Rong-Dian , WENG Hui-Min , ZHOU Xian-Yi , XU Ji-Hua , ZHU Jing-Sheng , LI Xiao-Guang , SHA Jian , WANG Jing-Cheng . Research for Crystallization of Metallic Glass Pd_79.5Ni₄Si_16.5 by Slow Positron Beam. Chinese Physics C, 1993, 17(4): 300-304.
[12]	BIAN Jian-Guo . A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂ LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD. Chinese Physics C, 1989, 13(1): 29-34.
[13]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[14]	HUANG Wu-Qun , CHEN Tian-Lun , ZHONG Chao-Wu , LI Zhi-Bing . A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE. Chinese Physics C, 1987, 11(1): 38-43.
[15]	HUANG Wu-Qun , CHEN Tian-Lun , SHEN Qin-Wan , ZHONG Chao-Wu . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON RANDOM TRIANGLE LATTICE. Chinese Physics C, 1987, 11(4): 563-566.
[16]	WAN Ling-De , ZHANG Xin-Min , LU Gong-Ru , XUE Xiao-Zhou . A CONFINING SU(4)×SU(4) COMPOSITE MODEL OF THE WEAK INTERACTIONS. Chinese Physics C, 1986, 10(4): 420-426.
[17]	ZHU Yong-Sheng . MONTE-CARLO CALCULATION ON ACHIEVABLE ACCURACY OF TAU LIFETIME MEASUREMENT BY USING TEC TYPE VERTEX CHAMBER IN e⁺e^－ INTERACTION AT CENTER OF MASS ENERGY √s =40GeV. Chinese Physics C, 1984, 8(5): 513-522.
[18]	WANG RU-LIN , PAN JI-ZHI , ZHANG YU-SHUN , WANG WEI-WEI . ORTHOGONAL UNITS OF SYMMETRY GROUP S₄. Chinese Physics C, 1982, 6(5): 588-594.
[19]	Ding Lin-kai , Zhu Qing-qi . MONTE-CARLO SIMULATION OF COSMIC RAY ANTIPROTON INTENSITY. Chinese Physics C, 1980, 4(6): 735-740.
[20]	ZHAO SHU-SONG , PENG SHOU-LI , YU CHUAN-ZAN . SCALING PHENOMENA AND RENORMALIZATION GROUP. Chinese Physics C, 1979, 3(4): 387-392.

Access

Get Citation

LI Zhi-Bing, ZHONG Chao-Wu, CHEN Tian-Lun and HUANG Wu-Qun. MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴ MODEL[J]. Chinese Physics C, 1988, 12(1): 23-27.

LI Zhi-Bing, ZHONG Chao-Wu, CHEN Tian-Lun and HUANG Wu-Qun. MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴ MODEL[J]. Chinese Physics C, 1988, 12(1): 23-27. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2644)
PDF Downloads(474)
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

MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴ MODEL

Corresponding author: LI Zhi-Bing,

Nankai University,Tianjin

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-02-05

Abstract: The Monte Carlo renormalization group method proposed by Callaway is applied to φ⁴ model on two dimensional triangle lattice.The flow diagram,fixed point and critical exponent are determined,There is no fixed point in the range of 0.1<λ<10⁹.The large λ limit,as expected,is consistent with the Ising model.