Operator relations for gravitational form factors of a spin-0 hadron
Operator relations for gravitational form factors of a spin-0 hadron
复制标题
自旋 0 强子的引力形状因子的算子关系
作者：
Kazuhiro Tanaka
强子的引力形式因子，即QCD能量动量张量中强子矩阵元素的形式因子，不仅描述了强子与引力子的耦合，而且作为描述强子内部形状的唯一量，反映了夸克和胶子的动力学，如作用在夸克/胶子上的内部剪切力及其压力分布。我们考虑了夸克对（伪）标量强子的引力形式因子的贡献，并推导和澄清了它们所满足的关系，作为QCD中对称性和运动方程的直接结果，以及与广义部分子分布的联系。我们的结果揭示了引力形式因子与强子内部高扭夸克-胶子相关效应之间的联系。
The gravitational form factors for a hadron, the form factors for the hadron matrix element of the QCD energy-momentum tensor, not only describe the coupling of the hadron with a graviton, but also serve as unique quantities for describing the shape inside the hadron reflecting dynamics of quarks and gluons, such as the internal shear forces acting on the quarks/gluons and their pressure distributions. We consider the quark contribution to the gravitational form factors for a (pseudo)scalar hadron, and derive and clarify the relations satisfied by them as direct consequences of the symmetries and the equations of motion in QCD, and connections to the generalized parton distributions. Our results reveal the connections between the gravitational form factors and the higher-twist quark-gluon correlation effects inside the hadrons.