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

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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

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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.

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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

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

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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.