论文标题
nakanishi积分表示法中Minkowski空间中的fermion和光子间隙方程
Fermion and Photon gap-equations in Minkowski space within the Nakanishi Integral Representation method
论文作者
论文摘要
基于N-Leg过渡幅度的Nakanishi积分表示的方法扩展到处理费米昂的自我能力和（IR受调节的）矢量波森的自我癌，以铺平该技术在Gap-和Bethe-Salpeter方程中构建该技术的全面应用的方式。实现的结果，即6通道耦合的整体方程系统，最终允许人们确定三个Källén-Lehman权重，以使Fermion和Photon的传播器完全覆盖。还提供了第一个一致性检查。提出的正式阐述指出，将非扰动制度的特征嵌入了更基本的水平。它在Minkowski空间中产生了可行的工具，用于在QFT框架内进行强烈相互作用的理论的现象学研究，在该框架框架中，动态成分使动力学成分变得透明并受到控制。
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 Källén-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.
