Chinese Physics C > 1985, Vol. 9 > Issue(1): 41-45

MONTE CARLO STUDY OF THE TRIANGLE LATTICE GEUCHI-KAWAI MODEL

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Abstract：
The triangle lattice Eguchi-Kawai model is studied by using the Monte Carlo technique. The results indicate that in the two-dimensional case U(1) symmetry is not broken but in the three-dimensional case a clear evidence of spontaneous breaking of the U(1) symmetry is observed in the weak coupling region.

References

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T. Eguchi, H. Kawai, Phys. Rev. Lett., 48 (1982), 1063.[2] G. Bhanot, M. Heller, H. Neuberger, Phys. Lett., 113B (1982), 47.[3] M. Okawa, Phys. Rev. Lett., 49(1982), 353.[4] G. Parisi, Phys. Lett., ll2B (1982), 463.[5] M. Okawa, Phys. Rev. Lett., 49 (1982), 705.[6] A. Gonzala-Arroyo, J. Jurkiewics, C. P. Korthals Altes, Proc. 1951 Freiburg NATO Summer Institute(Plenum, New York, 1982).[7] R.W. B. Ardill, J. P. Clarke, J. M. Drouffe, Preprint Ref. TH. 3634-CERN.[8] J.M. Drouffe, K. J. M. Moriarty, Preprint Ref. TH. 3624---CERN.[9] T.L. Chen(陈天带), C-I Tan, X. T. Zheng(郑希特) Phys. Lett., 116B(1982), 419.[10] T. Eguclu, R. Nakagama, Phys. Lett., 122B(1983); 59.[11] A. Gonzalez-Arroyo, M. Okawa, Phys. Lett., 120B(1983 ) , 174.[12] Y. Brihaye, P. Rossi, Phys. Lett., 125B (1983), 415.

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CHEN Tian-Lun, HUANG Wu-Qun and ZHENG Xi-Te. MONTE CARLO STUDY OF THE TRIANGLE LATTICE GEUCHI-KAWAI MODEL[J]. Chinese Physics C, 1985, 9(1): 41-45.

CHEN Tian-Lun, HUANG Wu-Qun and ZHENG Xi-Te. MONTE CARLO STUDY OF THE TRIANGLE LATTICE GEUCHI-KAWAI MODEL[J]. Chinese Physics C, 1985, 9(1): 41-45. 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

MONTE CARLO STUDY OF THE TRIANGLE LATTICE GEUCHI-KAWAI MODEL

Corresponding author:CHEN Tian-Lun,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1985-02-05

Abstract:The triangle lattice Eguchi-Kawai model is studied by using the Monte Carlo technique. The results indicate that in the two-dimensional caseU(1) symmetry is not broken but in the three-dimensional case a clear evidence of spontaneous breaking of theU(1) symmetry is observed in the weak coupling region.