Sketching the Bethe-Salpeter Kernel
Sketching the Bethe-Salpeter Kernel
复制标题
绘制 Bethe-Salpeter 内核的草图
DOI：
10.1103/physrevlett.103.081601
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发表时间：
2009-08-21
影响因子：
8.6
通讯作者：
Roberts, Craig D.
中科院分区：
文献类型：
--
作者：
Chang, Lei;Roberts, Craig D.
给出了轴矢Bethe-Salpeter方程的精确形式，它在夸克-胶子顶点完全修饰时是有效的。由此导出了Bethe-Salpeter核的Ward-Takahashi恒等式，并对一类修饰夸克-胶子-顶点模型进行了求解。该解提供了一个保持对称性的封闭的间隙方程和顶点方程系统。这种分析可以推广到向量方程。这使得能够比较伪标量和标量介子质量对非微扰修饰夸克-胶子顶点的响应。结果表明，动力学手征对称性破缺增强了介子谱中的自旋轨道分裂。
An exact form is presented for the axial-vector Bethe-Salpeter equation, which is valid when the quark-gluon vertex is fully dressed. A Ward-Takahashi identity for the Bethe-Salpeter kernel is derived therefrom and solved for a class of dressed quark-gluon-vertex models. The solution provides a symmetry-preserving closed system of gap and vertex equations. The analysis can be extended to the vector equation. This enables a comparison between the responses of pseudoscalar and scalar meson masses to nonperturbatively dressing the quark-gluon vertex. The result indicates that dynamical chiral symmetry breaking enhances spin-orbit splitting in the meson spectrum.