VARIATIONAL ANALYSIS OF THE <EM>SU</EM>(3) LATTICE GAUGE THEORY

CHEN Tian-Lun; Zhou Hong-Mo; LI Tie-Zong; XIAN Ding-Chang; ZHENG Xi-Te

Chinese Physics C> 1984, Vol. 8> Issue(5) : 653-656

VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY

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Abstract：
The variational method in Lagrangian formalism has been applied to investigate the SU(3) Wilson model in lattice gauge theory. No phase transition point has been found. The result is in agreement with that obtained by Monte Carlo simulations.

References

[1]

X.T. Zheng(郑希特).C. I. Tan and T. L. Chen(陈天斋), Phys. Rev., D26 (1982 ) , 2843.[2] R. C. Edgar and L. M. Crossen,J.Phys., G7(1982), L85. H. Grosse and H. Kuhnelt, Nucl. Phys., B205, (1982 ), 273. C. P. Bachas and R. F. Dashen, Nucl. Phys., B210 [FS6](1982), 583.[3] P. Cvitanovic, J. Greensite and B. Lautrup. Phys. Lett., 105B (1981), 197.[4] D. J. Pritchard. Phys. Lett., 106B(1981), 193.[5] K. E. Eriksson, N. Svartholm and B. S. Skagerstam, CERN Preprint, TH-2974(1980).[6] R. Brower, P. Rossi and C. I. Tan, Nucl. Phys., B190 [FS3](1981), 699.

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CHEN Tian-Lun, Zhou Hong-Mo, LI Tie-Zong, XIAN Ding-Chang and ZHENG Xi-Te. VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1984, 8(5): 653-656.

CHEN Tian-Lun, Zhou Hong-Mo, LI Tie-Zong, XIAN Ding-Chang and ZHENG Xi-Te. VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1984, 8(5): 653-656. 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

VARIATIONAL ANALYSIS OF THE SU(3) LATTICE GAUGE THEORY

Corresponding author: CHEN Tian-Lun,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-10-05

Abstract: The variational method in Lagrangian formalism has been applied to investigate the SU(3) Wilson model in lattice gauge theory. No phase transition point has been found. The result is in agreement with that obtained by Monte Carlo simulations.