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

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

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

MONTE CARLO RENORMALIZATION GROUP STUDY OF φ⁴ MODEL

Nankai University,Tianjin

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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

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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.

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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

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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

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.