β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

CHEN Tian-Lun; HUANG Wu-Qun; JIN Ke; SUO Cun-Chuan

Chinese Physics C> 1989, Vol. 13> Issue(2) : 188-192

β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

Nankai University,Tianjin

Abstract
HTML
Reference
Related

PDF

Abstract：
The β function behavior for SU(2)×SU(2) chiral model on 2-dimensional random triangle lattice has been studied with Monte Carlo renormalization group method.Its behavior is similar to that of the 4-dimensional SU(2) gauge theory.However,it is smoother from weak to strong coupling regions.There is no nonperturbative peak structure.The asymptotic scaling starts beyond β=1.6.

References

[1]

F. Green and S. Samuel, Nucl. Phys.. B190(FS3) (1981), 113.[2] A. A. Migdal, JETP (Sov. Phys.), 42(1976), 413: 743.[3] 黄五群、陈天裔，沈琴婉、钟朝武，高能物理与核物理,V11(1987),563, 陈天裔、黄五群、沈琴婉高能物理与核物理，V12(1958),573[4] N. H. Christ, R. Friedberg and T. D. Lee, Nucl. Phys., B202(1982), 89; B210(1982), 310; B210(1982),331.R. Friedberg and H. C. Ren, Nucl. Phys. B235(FS11) (1984), 310.[5] H. Q. Ding, J. Comp., Phys., 67(1986), 28; Y. F. Deng, CCAST SYMPOSIUM/WORKSHOP PROCEEDIYGS 1(1987), 419.[6] R. H. Swendsen, Phys. Rev., B20(1979), 2080.[7] C. M. Wu and P. Y. Zhao, Phys. Lett., R178(1966), 89.[8] S. Shenker and J . Tobochnik, Phys. Rev., B22(1980); 4462.[9] A. Hasenfratz, P. Hasenfratz: U. Heller and F. Karsch. Phys. Lett., 140B(1984), 76.

[1]	WANG Shu-Zhong , HUANG Yong-Chang . SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking. Chinese Physics C, 2001, 25(12): 1152-1157.
[2]	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.
[3]	Yu Youwen , Zhang Zongye , Yuan Xiuqing . Study of Six Quark Cluster States in Chiral SU(3) Quark Model. Chinese Physics C, 1999, 23(9): 859-864.
[4]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[5]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[6]	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.
[7]	Zhang Jun , Yang Guangcan , Yan Hong . 2-Dimensional Cyclic Representations of U_q(sl(2)), C-GCoefficients and a Free Fermion 8-Vertex Model. Chinese Physics C, 1995, 19(12): 1084-1089.
[8]	Hui Ping , Chen Qizhou . Fourth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1995, 19(9): 820-825.
[9]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[10]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[11]	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.
[12]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[13]	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.
[14]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[15]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[16]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[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]	HUANG Wu-Qun , CHEN Tian-Lun , ZHONG Chao-Wu , LI Zhi-Bing . A MONTE CARLO RENORMALIZATION GROUP STUDY OF A 2-DIMENSIONAL TRIANGULAR LATTICE. Chinese Physics C, 1987, 11(1): 38-43.
[19]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[20]	MA ZHONG-QI , DONG FANG-XIAO , YUE ZONG-WU , ZHOU XIAN-JIAN , XUE PEI-YOU . DISCUSSION OF A SU(2)×U(1)×S₃ MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.

Access

Get Citation

CHEN Tian-Lun, HUANG Wu-Qun, JIN Ke and SUO Cun-Chuan. β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE[J]. Chinese Physics C, 1989, 13(2): 188-192.

CHEN Tian-Lun, HUANG Wu-Qun, JIN Ke and SUO Cun-Chuan. β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE[J]. Chinese Physics C, 1989, 13(2): 188-192. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2556)
PDF Downloads(453)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

Corresponding author: CHEN Tian-Lun,

Nankai University,Tianjin

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-02-05

Abstract: The β function behavior for SU(2)×SU(2) chiral model on 2-dimensional random triangle lattice has been studied with Monte Carlo renormalization group method.Its behavior is similar to that of the 4-dimensional SU(2) gauge theory.However,it is smoother from weak to strong coupling regions.There is no nonperturbative peak structure.The asymptotic scaling starts beyond β=1.6.