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

ZHENG Wei-Hong; GUO Shuo-Hong

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2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(2) : 184-187

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

ZHENG Wei-Hong ^, ,
GUO Shuo-Hong

Physics Depart.,Zhongshan Univer Guangzhou

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Abstract：
We present a variational calculation of 0^+－ and 0⁺⁺ glueball masses in 2+1 dimensional U(1) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct classical continuum limit.In deep weak coupling region,we obtain that am(0^+－) decreases with 1/g² exponentially and am(0⁺⁺)=2.78g².

References

[1]

Guo S. H., Liu J. M. and Chen Q. Z., Chin. Phys.Lett,2(1985), 409.[2] Guo S. H., ZhenR 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，1(1988)，134.[4] 刘金明、郑维宏、郭硕鸿，高能物理与核物理，3(1988)，420.[5] Guo S. H. and Zheng W. H.“A New Form of T.attice Hamiltonian With Exact Ground State", to be pu-bliced.[6] P. Suranyi, Phys. Lett., B122(1983), 279; Nucl. Phys., B225(1983), 538; 8210(1982), 519.[7] M. Goplert and G. Mack, Commun. Math.Phys., 82(1982), 545.[8] M. Karliner and G. Mack, Nucl, Phys B225(1983), 371.[9] C. J. Hamer, Z. Phys., G27(1983), 145.[10] G. G. Batrouni, Nucl. Phys., B208(1982),12.

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[17]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
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[19]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[20]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.

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ZHENG Wei-Hong and GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT[J]. Chinese Physics C, 1989, 13(2): 184-187.

ZHENG Wei-Hong and GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT[J]. Chinese Physics C, 1989, 13(2): 184-187. 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 U(1) LGT

ZHENG Wei-Hong ^,
GUO Shuo-Hong

Corresponding author: ZHENG Wei-Hong,

Physics Depart.,Zhongshan Univer Guangzhou

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-02-05

Abstract: We present a variational calculation of 0^+－ and 0⁺⁺ glueball masses in 2+1 dimensional U(1) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct classical continuum limit.In deep weak coupling region,we obtain that am(0^+－) decreases with 1/g² exponentially and am(0⁺⁺)=2.78g².