THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

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(1) : 83-86

THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

ZHENG Wei-Hong ^, ,
GUO Shuo-Hong

Zhongshan University,Guangzhou

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Abstract：
A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit is made.In the range 1.3≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.

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(1966),134,[4] 刘全明，郑维安，岛骊池，高能物理与枝物理，12(1968), 420.[5] Guo S. H. and ZHENG W. H., "A NEW FORM OF LATTICE HAMILTONIAN WITH EXACT GKOUND STATE", to be publiced.[6] V. F. MULLER and W. RUHL. Nucl Phys., B230(1964), 49.[7] E. d'HOKER, Nucl. Phys , 180(1981), 341.[8] J. AMBJORN, A. J. G. HEY and S. OTTO, Nucl. Phys. B210(1981), 341.[9] A. IRBACK and C. PETERSON, Phys. Lett., B174(1986), 99.[10] K. FARAKOS, G. KOUTSOUMBAS, and S. SARANTAKOS, Phys. Lett. B189(1987), 173.[11] C. J. HAMER, Z Phys, C27(1985), 307.

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ZHENG Wei-Hong and GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT[J]. Chinese Physics C, 1989, 13(1): 83-86.

ZHENG Wei-Hong and GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT[J]. Chinese Physics C, 1989, 13(1): 83-86. 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 VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

ZHENG Wei-Hong ^,
GUO Shuo-Hong

Corresponding author: ZHENG Wei-Hong,

Zhongshan University,Guangzhou

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

Abstract: A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit is made.In the range 1.3≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.