Bound state solutions of scalar QED_{2+1} for zero photon mass

Abstract

The Feynman-Schwinger representation is used to study the behavior of solutions of scalar QED in (2+1) dimensions. The limit of zero photon mass is seen to be smooth. The Bethe-Salpeter equation in the ladder approximation also exhibits this property. They clearly deviate from the behavior in the nonrelativistic limit. In a variational analysis we show that this difference can be attributed to retardation effects of relativistic origin.

Comments: LaTeX, 11 pages, 2 Postscript figures; uses `elsart.sty' and `epsf.sty' (both included with the figures in one uuencoded- compressed-tar-package); accepted for publication in Physics Letters B. (elsart12.sty now also included)