论文标题

从超偏见到非相关性极限

2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit

论文作者

Lorcé, Cédric, Schweitzer, Peter, Tezgin, Kemal

论文摘要

基于2D或3D傅立叶变换的能量,应力,线性和角动量的空间分布,可以在某些框架中以某些框架来解释能量量张量(EMT)的形式。这种解释通常受到“相对论后坐力校正”的约束,除非核子以光速移动,例如在无限摩托车框架中。我们表明,可以制定一个较大的$ N_C $限制,其中概率的解释在其他框架中也存在。我们使用在大$ N_C $限制中配制的袋子模型作为内部一致的夸克模型框架来可视化与2D EMT发行版相关的信息内容。为了提供更多的直觉,我们在身体状况和三个不同的限制中提出结果:通过考虑重量夸大的限制,大型系统大小的限制和组成量的限制。在这些极限范围内的分布的可视化将有助于解释实验,晶格QCD以及其他模型或有效理论的结果。

Form factors of the energy-momentum tensor (EMT) can be interpreted in certain frames in terms of spatial distributions of energy, stress, linear and angular momentum, based on 2D or 3D Fourier transforms. This interpretation is in general subject to "relativistic recoil corrections", except when the nucleon moves at the speed of light like e.g. in the infinite-momentum frame. We show that it is possible to formulate a large-$N_c$ limit in which the probabilistic interpretation of the nucleon EMT distributions holds also in other frames. We use the bag model formulated in the large-$N_c$ limit as an internally consistent quark model framework to visualize the information content associated with the 2D EMT distributions. In order to provide more intuition, we present results in the physical situation and in three different limits: by considering a heavy-quark limit, a large system-size limit and a constituent-quark limit. The visualizations of the distributions in these extreme limits will help to interpret the results from experiments, lattice QCD, and other models or effective theories.

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