β Function tor SU(2)&#215;SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun; Huang Wuqun; Jin Ke; Suo Cunchuan

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(S1) : 43-48

β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice

Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin;Center of Theoretical Physics, CCAST(World Lab.)

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Abstract：
The β function behavior of the SU(2)×SU(2) chiral model on a two-dimensional random triangle lattice has been studied with the Monte Carlo renormalization group method. Its behavior is analogous to that of the 4-dimensional SU(2) gauge theory. However, it is smoother from the strong to the weak coupling region. There is no nonperturbative peak structure. The asymptotic scaling starts from β=1,6.

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Chen Tianlun, Huang Wuqun, Jin Ke and Suo Cunchuan. β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S1): 43-48.

Chen Tianlun, Huang Wuqun, Jin Ke and Suo Cunchuan. β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S1): 43-48. shu

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Received: 1988-07-01

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Supported by the National National natural Science Foundation of China.

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沈阳化工大学材料科学与工程学院沈阳 110142

β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice

Theoretical Physics Division, Nankai Institute of Mathematics, Nankai University, Tianjin;Center of Theoretical Physics, CCAST(World Lab.)

Received Date: 1988-07-01

Fund Project: Supported by the National National natural Science Foundation of China.

Abstract: The β function behavior of the SU(2)×SU(2) chiral model on a two-dimensional random triangle lattice has been studied with the Monte Carlo renormalization group method. Its behavior is analogous to that of the 4-dimensional SU(2) gauge theory. However, it is smoother from the strong to the weak coupling region. There is no nonperturbative peak structure. The asymptotic scaling starts from β=1,6.