MONTE CARLO SIMULATION OF <EM>SU</EM>(2)×<EM>SU</EM>(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE

LI Wen-Zhu; YING He-Ping; DONG Shao-Jing

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2024年10月30日

Chinese Physics C> 1987, Vol. 11> Issue(2) : 186-191

MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE

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Abstract：
In this paper, a SU(2)×SU(2) chiral model on 2-dimensional random lattice is studied by Monte Carlo simulation with 8×8, 9×9 and 10×10 lattice volumes. The results of its energy and specific heat per link are obtained and coincide with that of SU(2) gauge system on 4-dimension. The systems enter crossover region at β1.0 but show no obvious evidences of continuous phase transition. Thus we believed that the correspondences between 4-dimensional SU(N) gauge theory and 2-dimensional SU(N)×SU(N) spin system may be generized to interesting random lattice.

References

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A. A. Migdal, Zhete (USSR), 69(1975), 810.[2] A. M. Polyakov, Phys. Lett., B59(1975), 79.[3] F. GreenS. Samuel, Nucl. Phys., B190(1981). 113.[4] A. M. Horowity, Nucl. Phys., B251(1985), 1.[5] R. Friedberg H-C. Ren, Nucl. Phys., B235(1984), 310.[6] H-C. Ren, Nucl. Phys., 8235(1985), 321.[7] N. H. Christ, R. FriedbergT. D. Lee, Nucl. Phys., B202(1982), 89; B210(1982), 310; B210(1982),337.[8] K. G. Wilson, Phys. Rev., D10(1974), 2445.[9] M. Creutz, Phys. Rev., D21(1980), 2308.

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LI Wen-Zhu, YING He-Ping and DONG Shao-Jing. MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE[J]. Chinese Physics C, 1987, 11(2): 186-191.

LI Wen-Zhu, YING He-Ping and DONG Shao-Jing. MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE[J]. Chinese Physics C, 1987, 11(2): 186-191. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE

Corresponding author: LI Wen-Zhu,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1987-04-05

Abstract: In this paper, a SU(2)×SU(2) chiral model on 2-dimensional random lattice is studied by Monte Carlo simulation with 8×8, 9×9 and 10×10 lattice volumes. The results of its energy and specific heat per link are obtained and coincide with that of SU(2) gauge system on 4-dimension. The systems enter crossover region at β1.0 but show no obvious evidences of continuous phase transition. Thus we believed that the correspondences between 4-dimensional SU(N) gauge theory and 2-dimensional SU(N)×SU(N) spin system may be generized to interesting random lattice.