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

Abstract
HTML
Reference
Related

PDF

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/g ²,we obtain the results which are in good agreement with analytical calculation of SU(2) group.The scaling behaviour of mass gap am=2.3g ²is confirmed.

References

[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3229)
PDF Downloads(418)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
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=2.3g²is confirmed.