强子组分动力学中胶子凝聚的再解释
Reinterpretation of gluon condensate in dynamics of hadronic constituents
摘要:
本文在QCD的光阵面哈密顿表述中,用有效粒子的重整化群方法(RGPEP)描述了闵可夫斯基空间中强子的近似量子力学图象.这幅图表明,最轻的介子和重子中的组分夸克的谐振子势可能来自强子内部的胶子凝聚,而不是来自真空中无处不在的胶子凝聚。在重整化群动量标度下,与Lambda_QCD相当的助推不变组分动力学是用规范对称性和胶子的粗略平均场近似确定的.除了组分夸克模型之外,由此产生的图像也类似于基于AdS/QCD思想的模型。然而,我们的假设图片显着不同的模型,在QCD的系统分析,其中新的图片可能被视为一个候选人的第一近似的可用选项。这个选项概述了嵌入我们的介绍粗糙和简单的强子图片的背景下,RGPEP和强子现象学的简要展望。几个附录描述了在QCD中实际计算所需的形式主义的要素,包括微扰理论之外的RGPEP的扩展。
英文摘要:
We describe an approximate quantum mechanical picture of hadrons in Minkowski space in the context of a renormalization group procedure for effective particles (RGPEP) in a light-front Hamiltonian formulation of QCD. The picture suggests that harmonic oscillator potentials for constituent quarks in lightest mesons and baryons may result from the gluon condensation inside hadrons, rather than from an omnipresent gluon condensate in vacuum. The resulting boost-invariant constituent dynamics at the renormalization group momentum scales comparable with Lambda_QCD, is identified using gauge symmetry and a crude mean-field approximation for gluons. Besides constituent quark models, the resulting picture also resembles models based on AdS/QCD ideas. However, our hypothetical picture significantly differs from the models by the available option for a systematic analysis in QCD, in which the new picture may be treated as a candidate for a first approximation. This option is outlined by embedding our presentation of the crude and simple hadron picture in the context of RGPEP and a brief outlook on hadron phenomenology. Several appendices describe elements of the formalism required for actual calculations in QCD, including an extension of RGPEP beyond perturbation theory.
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