Bound States from Regge Trajectories in a Scalar Model

Abstract

The calculation of bound state properties using renormalization group techniques to compute the corresponding Regge trajectories is presented. In particular, we investigate the bound states in different charge sectors of a scalar theory with interaction (phi^dagger phi chi). The resulting bound state spectrum is surprisingly rich. Where possible we compare and contrast with known results of the Bethe-Salpeter equation in the ladder approximation and, in the non-relativistic limit, with the corresponding Schr"odinger equation.

18 pages, 5 postscript figures, uses LaTeX2e with feynmf, amssymb and psfig