MONTE CARLO RENORMALIZATION GROUP STUDY OF φ4 MODEL

  • 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.
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  • [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.
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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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MONTE CARLO RENORMALIZATION GROUP STUDY OF φ4 MODEL

    Corresponding author: LI Zhi-Bing,
  • Nankai University,Tianjin

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.

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