THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT

  • An improved Monte Carlo scheme is applied to the computation of the expectation values of nxm Wilson loops in both 2-and 3-dimensional SU(2) lattice gauge theories.The results are compared with those simulated by the discrete group Y120 and the exact results in two dimensions.
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  • [1] J. Kogut and L. Susskind, Phys. Rev., D11(1975), 355;J . Rogut, Rev. Mod. Phys., 51(1979), 659.[2] J . Kogut. Rev. Mod. Phys., 55(1983). 775;Guo S. H., Zheng W. H. and Liu J. M., "Exact ground state, mass gap, and string tension in lattice gauge theory", submitted to Phys. Rev.;H. Arisue, M. Kato and T. Fujiwara, Progr. of Theor. Phys.70(1983), 229.[3] A. Linde, Rep. Progr. Phys., 42(1979), 389; Phys. Lett., B96(1960), 269;E. Shuryak, Phys. Rep., 61(1980), 71, and references therein;K. Farakos, G. Koutsoumbas and S. Sarantakos, Phys. Lett., B189(1587), 173.[4] J . Ambjorn, P. Olesen and C. Peterson, Nucl. Phys., B244(1984), 262.J . Ambjorn, A. J. G. Hey and S. Otto, Nucl. Phys., B210(1982), 347.[5] N. Metropolis et al., J. Chem. Phys., 21(1953), 1087.[6] M. Creutz, Phys. Rev., D21(1980), 2038; Phys. Rev. Lett.. 48(1979), 553.[7] N. Cabibbo and E. Marinari, Phys. Lett., B119(1982). 387;A. D. Kennedy, B. J. Pendleton, Santa Barbara Preprint NSF-ITP-8507.[8] Y. F. Deng, CCAST (WORLD LABORATROXY)Symposiur.1/W0rkshop Proceegings, Vol. 1, Ed. by X.-Y.Li, Z:M. Qiu and H.-C. Rcn, 419--447.[9] K. G. Wilson, Phys. Rev., D14(1574), 2155.[10] to see [2] H. Arisuc et al.[11] 郑维宏,刘金明,郭硕鸿,高能物理与核物理,1(1988),134.
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LI Zhi-Bing, ZHENG Wei-Hong and GUO Shuo-Hong. THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT[J]. Chinese Physics C, 1989, 13(6): 512-517.
LI Zhi-Bing, ZHENG Wei-Hong and GUO Shuo-Hong. THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT[J]. Chinese Physics C, 1989, 13(6): 512-517. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT

    Corresponding author: LI Zhi-Bing,
  • Zhongshan University,Guangzhou

Abstract: An improved Monte Carlo scheme is applied to the computation of the expectation values of nxm Wilson loops in both 2-and 3-dimensional SU(2) lattice gauge theories.The results are compared with those simulated by the discrete group Y120 and the exact results in two dimensions.

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