β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

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Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398.
Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398. shu
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Received: 1989-04-01
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    Supported by the National Natural Science Foundation of China.

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β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

  • Nankai University, Tianjing
Fund Project:  Supported by the National Natural Science Foundation of China.

Abstract: The β function behavior for the O(3)σ amodel on the 2-dimensional random triangle lattice has been studied with the improved Monte Carlo renormalization group method. It agrees with the one calculated in the weak coupling region under two-loop approximation. However, when g ≥ 0.8, it drops down faster due to the higher-order perturbative and nonperturbative contributions.

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