论文标题

Hooft模型中的Hadron和轻额和轻额规则的质量结构

Mass structure of hadrons and light-front sum rules in t' Hooft model

论文作者

Ji, Xiangdong, Liu, Yizhuang, Zahed, Ismail

论文摘要

我们研究了大量颜色限制(t'Hooft模型),研究了二维量子染色体动力学中Hadron的结合状态的质量/能量结构。我们分别分析了能量量张量的无可纹理和痕量部分的贡献,并表明质量与标量电荷和库仑能的基质元素有关。我们得出标量电荷和库仑能量的光总和规则,该规则是根据光前波函数表示的,并发现它们在$ x = 0 $的情况下是常规的,而没有delta函数贡献。我们还考虑了无质量金石玻色子的结果,以及结合介子状态的重力形式的结构。

We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-momentum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at $x=0$ without the delta function contribution. We also consider the result for the massless Goldstone boson, as well as the structure of the gravitational form factors of the bound meson states.

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