标题： 闵可夫斯基空间中使用Nakanishi积分表示法的费米子和光子能隙方程 显示英文标题

标题： Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method

摘要： 基于n腿跃迁振幅的Nakanishi积分表示的方法被推广到费米子和（红外调节的）矢量玻色子的自能处理上，从而为该技术在Minkowski空间中同时应用于间隙方程和Bethe-Salpeter方程铺平了道路。 所取得的结果，即一个6通道耦合的积分方程系统，最终允许确定三个Källén-Lehman权重，以完全修饰费米子和光子的传播子。 还提供了一个初步的一致性检查。 所提出的理论推导指出了在更基本的层面上嵌入非微扰区域的特性。 它在Minkowski空间中提供了一个可行的工具，用于在QFT框架内对强相互作用理论进行现象学研究，在这个框架中，动力学成分变得透明且可控。 显示英文摘要

摘要： The approach based on the Nakanishi integral representation of n-leg transition amplitudes is extended to the treatment of the self-energies of a fermion and an (IR-regulated) vector boson, in order to pave the way for constructing a comprehensive application of the technique to both gap- and Bethe-Salpeter equations, in Minkowski space. The achieved result, namely a 6-channel coupled system of integral equations, eventually allows one to determine the three K\"all\'en-Lehman weights for fully dressing the propagators of fermion and photon. A first consistency check is also provided. The presented formal elaboration points to embed the characteristics of the non-perturbative regime at a more fundamental level. It yields a viable tool in Minkowski space for the phenomenological investigation of strongly interacting theories, within a QFT framework where the dynamical ingredients are made transparent and under control.