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

LI Zhi-Bing; ZHENG Wei-Hong; GUO Shuo-Hong

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(4) : 316-319

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

Zhongshan University,Guang Zhou

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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.

References

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: LI Zhi-Bing,

Zhongshan University,Guang Zhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-04-05

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.