ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY

ZHENG Xi-Te; XU Yong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(8) : 765-768

ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY

ZHENG Xi-Te ^, ,
XU Yong

Chengdu University of Science and Technology,Chengdu2 Southwestern Jiaotong University,Chengdu

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Abstract：
The variational-cumulant expansion method has been extended to the case of lattice SU(3) Wilson model.The plaquette energy as an order parameter has calculated to the 2nd order expansion.No 1st order phase transition in the d=4 case is found which is in agreement with the monte Carlo results,and the 1st order phase transition in the d=5 case is clearly seen.The method can be used in the study of problems is LGT with SU(3) gauge group.

References

[1]

X. T. Zheng, Z . G. Tan and J . Wang, Nucl. Phys., 8287 (1987), 171.[2] C. Itzykson and J . -B. Zuber, J . Marh. Phys., 21 (1981), 419. M. L. Mehta , Comm. Math.Phys., 79 (1981), 327.[3] R. Brower, P. Rossi and C. -I Tan, Nucl. Phys., B190 FS3 (1981), 699.[4] K. E. Eriksson and N. Svartholm, J . Math. Phys., 22(1981), 2276.[5] 何翔皓，李铁忠，冼鼎昌，高能物理与核物理，8(1981),772.[6] R. Balian, J. -M. Drouffe and C. Itzykson, Phys. Rev., D11(1975), 2104.[7] M. Creutz, Quarks, Gluons and Lattices, Cambridge Uniuersity Press, (1983), 79.

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ZHENG Xi-Te and XU Yong. ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1989, 13(8): 765-768.

ZHENG Xi-Te and XU Yong. ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1989, 13(8): 765-768. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY

ZHENG Xi-Te ^,
XU Yong

Corresponding author: ZHENG Xi-Te,

Chengdu University of Science and Technology,Chengdu2 Southwestern Jiaotong University,Chengdu

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-08-05

Abstract: The variational-cumulant expansion method has been extended to the case of lattice SU(3) Wilson model.The plaquette energy as an order parameter has calculated to the 2nd order expansion.No 1st order phase transition in the d=4 case is found which is in agreement with the monte Carlo results,and the 1st order phase transition in the d=5 case is clearly seen.The method can be used in the study of problems is LGT with SU(3) gauge group.