Analytic properties of the vacuum polarization tensor in the temporal gauge. Trouble with unitarity

The UV-finite part of the vacuum polarization tensor Πμβab in the temporalplanar gauge is computed using the Leibbrandt-Vienna (or generalized Leibbrandt-Mandelstam) prescription for the gauge dependent poles of the gauge-field propagator. It is shown that Πμνab has analytic properties that differ dramatically from those familiar in covariant gauges. By explicit calculation it is also shown that graph-by-graph unitarity is not satisfied. Comments on the absence of non-local counterterms in Burnel and Caprasse's formulation of the Leibbrandt-Vienna prescriptions are given. © 1992.