THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY

  • By combining Monte Carlo method and variational method,we calculate the mass gap of SU(2) lattice gauge theory in 18*18 lattice of 2+1 dimensions by means of the icosaheral subgroup (Y120) using a hamiltonian of which the ground state is exactly known.In the range 0<1/g2,we obtain the results which are in good agreement with analytical calculation of SU(2) group.The scaling behaviour of mass gap am=2.3g2 is confirmed.
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  • [1] Guo S. H., Liu.J. M.and Chen Q. Z,Chin. Phys.Lett,2(1985), 409.[2] Guo S. H,Zheng W. H. and Liu J. M., Chin. Phys. Lett, 3(1986), 445.[3] 郑维宏、刘金明、郭硕鸿,高能物理与核物理,12(1988),134.[4] 刘金明、郑维宏、郭硕鸿,2+1维SU(3)群格点规范的胶球质量,《高能物理与核物理》待发表.[5] V. F. Muller and W. Ruhl, Nucl. Phys,B 230(1984), 49.[6] 李文铸、张剑波、董绍静,物理学报,34(1985),49,[7] H. Arisue, M. Kato and T. Fujiwara, Progr. of Theor. Phys. 70(1983), 229.[8] C. J. Hamer and A. C. living, Z, Phys. C27(1985), 307.[9] E. d'Hoker, Nucl. Phys., B180(1981), 341.[10] A. Irback and C. Peterson, Phys. Lett., B174(1986), 99.[11] K. Farakos, G. Koutsoumbas and S. Sarantakos, Phys. Lett, B189(1987), 173.
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LI Zhi-Bing, ZHENG Wei-Hong and GUO Shuo-Hong. THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1989, 13(4): 316-319.
LI Zhi-Bing, ZHENG Wei-Hong and GUO Shuo-Hong. THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1989, 13(4): 316-319. shu
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Received: 1900-01-01
Revised: 1900-01-01
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THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY

    Corresponding author: LI Zhi-Bing,
  • Zhongshan University,Guang Zhou

Abstract: By combining Monte Carlo method and variational method,we calculate the mass gap of SU(2) lattice gauge theory in 18*18 lattice of 2+1 dimensions by means of the icosaheral subgroup (Y120) using a hamiltonian of which the ground state is exactly known.In the range 0<1/g2,we obtain the results which are in good agreement with analytical calculation of SU(2) group.The scaling behaviour of mass gap am=2.3g2 is confirmed.

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