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arXiv 1007.4479hep-phhep-exhep-lathep-th
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低能QCD中的球谱和强子过程

Glueball spectrum and hadronic processes in low-energy QCD

Marco Frasca

摘要:

利用最近证明的一个映射定理,得到了量子色动力学(QCD)的低能极限。这个定理指出,经典上,无质量四次标量场理论的解是杨-米尔斯方程在规范耦合趋于无穷大的极限下的近似解。低能QCD由Yukawa理论描述,进一步可约化为Nambu-Jona-Lasinio模型。在第一阶,我们可以计算胶夸克相互作用,也可以计算$σ$和$η-η'$介子的性质。最后,可以看出,所有的强相互作用的物理,无论是在红外线和紫外线的限制,是由一个单一的常数$Λ$产生的紫外线的尺寸嬗变和红外线作为一个积分常数。

英文摘要:

Low-energy limit of quantum chromodynamics (QCD) is obtained using a mapping theorem recently proved. This theorem states that, classically, solutions of a massless quartic scalar field theory are approximate solutions of Yang-Mills equations in the limit of the gauge coupling going to infinity. Low-energy QCD is described by a Yukawa theory further reducible to a Nambu-Jona-Lasinio model. At the leading order one can compute glue-quark interactions and one is able to calculate the properties of the $σ$ and $η-η'$ mesons. Finally, it is seen that all the physics of strong interactions, both in the infrared and ultraviolet limit, is described by a single constant $Λ$ arising in the ultraviolet by dimensional transmutation and in the infrared as an integration constant.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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