β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

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

Chinese Physics C> 1990, Vol. 14> Issue(8) : 700-703

β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

Nankai University,Tianjin

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Abstract：
The β function behavior for SU(3)×SU(3) chiral model on 2-demensional random triangle lattice has been studied with Monte Carlo renormalization group method.The behavior is similar to that of the 4-dimensional SU(3) gauge theory,but it has a smoother transition from weak to strong coupling regions.There is no nonperturbative peak structure.The asymptotic scaling starts beyond β=5.8.

References

[1]

陈天带，黄五群，金柯、索存川，高能物理与核物理，V.13 (1989), 188.[2] H. Q. Ding, J. Comp. Phys., 67(1986), 28.[3] R. H. Swendsen, Phys. Rev., B20(1979), 2080.[4] C. M. Wu and P. Y. Zhao, Phys. Lett., B178 (1986), 89.[5] R. Gupta, G. Guralnik, A. Patel, T. Warnock and C. Zemach, Phys. Rev. lett., 53(1984), 1721.[6] A. Hasenfratz, P. Hasenfratz, U. Heller and F. Karsch, Phys. Lett., 140B(1984), 76[7] F. Green and S. Samuel, Nucl. Phys，B190(FS3) (1981), 113.

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CHEN Tian-Lun, SUO Cun-Chuan and HUANG Wu-Qun. β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE[J]. Chinese Physics C, 1990, 14(8): 700-703.

CHEN Tian-Lun, SUO Cun-Chuan and HUANG Wu-Qun. β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE[J]. Chinese Physics C, 1990, 14(8): 700-703. 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(3)×SU(3) 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: 1990-08-05

Abstract: The β function behavior for SU(3)×SU(3) chiral model on 2-demensional random triangle lattice has been studied with Monte Carlo renormalization group method.The behavior is similar to that of the 4-dimensional SU(3) gauge theory,but it has a smoother transition from weak to strong coupling regions.There is no nonperturbative peak structure.The asymptotic scaling starts beyond β=5.8.