Relative energy dependence of the Bethe-Salpeter amplitude in two-dimensional massless QED

Abstract

The exact $q\bar{q}$ Bethe-Salpeter bound state amplitude is investigated in the space of relative energy $E$ for fixed value of relative position. By means of approximate analysis it is shown to possess singularities in $E$ whenever one of the quarks reaches the energy threshold for the creation of certain number of Schwinger bosons. These results are afterwards confirmed by numerical plots.

REVTEX, 9 pages, 3 figures

References in corpus (5)

• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Two-Fermion Bound States within the Bethe-Salpeter Approach
• Solving the Bethe-Salpeter Equation in Euclidean Space
• Electromagnetic form factor via Minkowski and Euclidean Bethe-Salpeter amplitudes
• Instanton modifications of the bound state singularity in the Schwinger Model