THE MASS GAP IN 2+1 DIMENSIONAL <EM>SU</EM>(2) LATTICE GAUGE THEORY

ZHENG Wei-Hong; LIU Jin-Ming; GUO Shuo-Hong

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(1) : 134-136

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

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 with the ground state being exactly known is made.In the range 0≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory.

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] V. F. MULLER and W. RUHL, Nucl. Phys., B230(1984), 49.[4] H. ARISUE, M. KATO and T. FUJIWARA, Progr. of Thcor. Phys., 70(1983), 229.[5] E. dYHOKER, Nucl. Phys., B180(1981), 341.[6] A. PATKOS, Phys. Lett., B110(1982), 391.[7] A. IRBACK and C. PETERSON, Phys. Lett., BI74(1986), 99.[8] C. J., HAMER and A. C. IRVING, Z. Phys., C. 27(1985), 307.[9] K. FARAKOS, G. KOUTSOUMBAS and S. SARANTAKOS, CERN-TH. 4610/86.[10] G. G. BATROUNI, Nucl. Phys., B208(1982), 12.[11] K. E. ERIKSON et al., J. Math. Phys. 22(1981), 2276.

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ZHENG Wei-Hong, LIU Jin-Ming and GUO Shuo-Hong. THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1988, 12(1): 134-136.

ZHENG Wei-Hong, LIU Jin-Ming and GUO Shuo-Hong. THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY[J]. Chinese Physics C, 1988, 12(1): 134-136. 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 MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY

Corresponding author: ZHENG Wei-Hong,

Zhongshan University,Guangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1988-02-05

Abstract: A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian with the ground state being exactly known is made.In the range 0≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory.