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2004•Unpublished venueRequires access

Effect of Instanton on the QCD Sum Rule of 0~(++) Glueball

Zhu Zhang

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Glueball, Instanton, Physics, Particle physics, Sum rule in quantum mechanics, Quantum chromodynamics, Gluon, Quark

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