Infrared Singularities Caused by Gauge Fixing

Abstract

The classical Maxwell equations can be solved in any axial gauge

$$n\cdot A=0$$

(1)

In Minkowski space we distinguish between three different axial gauges

$$\begin{matrix} temporal gauge:n\cdot n=+1 \\ light cone gauge:=0 \\ spatial gauge:=-1. \\ \end{matrix}$$

(2)

In a corresponding Euclidean field theory there is the single choice

$$n\cdot n=+1$$

(3)

We call this gauge “temporal” throughout.

Work done in collaboration with V. F. Müller