Effect of Instanton on the QCD Sum Rule of 0<SUP>++</SUP> Glueball

ZHANG Zhu-Feng; JIN Hong-Ying

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2024年10月30日

Chinese Physics C> 2004, Vol. 28> Issue(3) : 245-249

Effect of Instanton on the QCD Sum Rule of 0⁺⁺ Glueball

ZHANG Zhu-Feng ^, ,
JIN Hong-Ying

Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China

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Abstract：
In this paper, we investigate the instanton effects to the mass of 0⁺⁺ glueball by QCD sum rule approach. The instantons are assummed to be free from each other and be with definite density varying with their sizes. We find the upper bound of mass of the 0 ++ glueball is 1.3GeV and very possibly the mass can be as low as 1GeV. Besides, the instanton effects greatly improve the stability of the sum rule and overtake the contribution of quarks and gluons condensate. The centre size of instantons at 1/3fm can give the stablest sum rule.

References

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ZHANG Zhu-Feng and JIN Hong-Ying. Effect of Instanton on the QCD Sum Rule of 0⁺⁺ Glueball[J]. Chinese Physics C, 2004, 28(3): 245-249.

ZHANG Zhu-Feng and JIN Hong-Ying. Effect of Instanton on the QCD Sum Rule of 0⁺⁺ Glueball[J]. Chinese Physics C, 2004, 28(3): 245-249. shu

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Received: 2003-06-27
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

Effect of Instanton on the QCD Sum Rule of 0⁺⁺ Glueball

ZHANG Zhu-Feng ^,
JIN Hong-Ying

Corresponding author: ZHANG Zhu-Feng,

Zhejiang Institute of Modern Physics,Zhejiang University,Hangzhou 310027,China

Received Date: 2003-06-27
Accepted Date: 1900-01-01
Available Online: 2004-03-05

Abstract: In this paper, we investigate the instanton effects to the mass of 0⁺⁺ glueball by QCD sum rule approach. The instantons are assummed to be free from each other and be with definite density varying with their sizes. We find the upper bound of mass of the 0 ++ glueball is 1.3GeV and very possibly the mass can be as low as 1GeV. Besides, the instanton effects greatly improve the stability of the sum rule and overtake the contribution of quarks and gluons condensate. The centre size of instantons at 1/3fm can give the stablest sum rule.