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

Chen Tianlun; Huang Wuqun; Jin Ke; Suo Cunchuan

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.

[1]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[2]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(S3): 265-272.
[3]	Zheng Xite , Chen Hong , Lu Zhao , He Yuan . Analytical Calculation for the Fixed Length Lattice SU/(2)-Higgs Model. Chinese Physics C, 1995, 19(S1): 69-75.
[4]	Huang Liangxin , Li Hong , Chen Tianlun . Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[5]	Chen Qizhou , Li Lei , Li Zhibing , Guo Shuohong . Vacuum Wave Function Study of 2+1 Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(5): 417-423.
[6]	Liu Jinming , Gong Di . Variational Study of 3-Dimensional SU(2) Lattice Gauge Theory with Independent Plaquette Trial Action. Chinese Physics C, 1993, 17(S1): 45-52.
[7]	Shen Kun , Qiu Zhongping . Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1991, 15(S4): 401-410.
[8]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[9]	SHEN Kun , QIU Zhong-Ping . THE CHIRAL SU(2)_L SU(2)_R σ-MODEL WITH MASSIVE π MESONS. Chinese Physics C, 1989, 13(8): 755-759.
[10]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[11]	Li Zhibing , Zheng Weihong , Guo Shuohong . The String Tensions of (2+1)-dimensional SU(2) Gauge Theory. Chinese Physics C, 1989, 13(S3): 245-248.
[12]	Zheng Weihong , Guo Shuohong . Variational Calculation of the Glueball Mass in 2+1 Dimensional SU(2) LGT. Chinese Physics C, 1989, 13(S1): 33-36.
[13]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[14]	Luo Xiangqian , Chen Qizhou , Guo Shuohong . Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking. Chinese Physics C, 1989, 13(S2): 157-164.
[15]	CHEN Tian-Lun , HUANG Wu-Qun , JIN Ke , SUO Cun-Chuan . β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[16]	Chen Tianlun . β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S4): 393-398.
[17]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[18]	Liu Jinming , Zheng Weihong , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S2): 137-142.
[19]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[20]	LI Wen-Zhu , YING He-Ping , DONG Shao-Jing . MONTE CARLO SIMULATION OF SU(2)×SU(2) SPIN SYSTEM ON 2-DIMENSIONAL RANDOM LATTICE. Chinese Physics C, 1987, 11(2): 186-191.

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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.