| Popis: |
The renormalizable perturbation expansion for the scattering of electrons and massive photons is studied, as a theorist's experiment, to test conspiracy theory for Regge trajectories. For convenience, all particles are assigned the same mass. It is shown that a nontrivial evasive solution is allowed kinematically, but that the electron trajectory does not choose it. Rather, at least to lowest order, there are three sequences of daughter trajectories, whose values differ by integers at $s=0$, and which all conspire in a complicated way with the electron to satisfy the kinematic constraints. This picture is greatly simplified using the $O(4)$ expansion of Freedman and Wang. There are only a small number of Lorentz poles. We reformulate the problem in this language and discuss some of the properties of these poles. The electron Lorentz pole factors and implies $M=\frac{1}{2}$. |
