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

βFunction torSU(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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The βfunction 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.

[1]	Zheng Xite,Chen Hong,Lu Zao,He Yuan. Analytical Calculation of the Fixed Length Lattice SU(2)-Higgs Model. Chinese Physics C, 1995, 19(2): 137-142.
[2]	Liu Beishu,Zheng Xite. Analytical Calculation of Lattice SU(2)-Higgs Model with Varied Length. Chinese Physics C, 1995, 19(12): 1090-1095.
[3]	Chen Qizhou,Fang Xiyan,Guo Shouhong. Calculation of Vacuum State for 2+1-DimensionalSU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
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[5]	Huang Liangxin,Li Hong,Chen Tianlun. Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
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Chen Tianlun, Huang Wuqun, Jin Ke and Suo Cunchuan. βFunction 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. βFunction 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

βFunction torSU(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:Theβfunction behavior of theSU(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-dimensionalSU(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 fromβ=1,6.