论文标题
波多尔斯基传播器中的差距和绑定状态方程
The Podolsky propagator in gap and bound-state equations
论文作者
论文摘要
基于Podolsky繁殖器的广义量子电动力学表达，该表达可保留大量光子的规格不变性，我们为大型Gluon繁殖物提出了一个模型，该模型重现了Dyson-Schwinger方程框架中已建立的强相互作用模型的知名特征。通过调整Podolsky质量和耦合强度，我们因此构建了一个模型，该模型具有简单的分析特性，从扰动理论中已知，但非常适合描述相互作用。我们在真实的轴上以及在复杂的平面上以及在伯特 - 盐盐方程中解决界限上的夸克方程解决方案的解决方案，在$π，k $和$η_c$的实验值中，$ d $和$ d $ d $ d $ dectix and Dixcliake and Dixciplieply Decliest。这种有效相互作用的分析简单性有可能对现象学应用有用，并可能促进Minkowski空间中的计算。
Based on the Generalized Quantum Electrodynamics expression for the Podolsky propagator, which preserves gauge invariance for massive photons, we propose a model for the massive gluon propagator that reproduces well-known features of established strong-interaction models in the framework of the Dyson-Schwinger equation. By adjusting the Podolsky mass and the coupling strength we thus construct a model with simple analytical properties known from perturbative theory, yet well suited to describe a confining interaction. We obtain solutions of the Dyson-Schwinger equation for the quark at space-like momenta on the real axis as well as on the complex plane and solving the bound-state problem with the Bethe-Salpeter equation yields masses and weak decay constants of the $π, K$ and $η_c$ in excellent agreement with experimental values, while the $D$ and $D_s$ are reasonably well described. The analytical simplicity of this effective interaction has the potential to be useful for phenomenological applications and may facilitate calculations in Minkowski space.
