Regular Article - Theoretical Physics
Relative-energy dependence of the Bethe–Salpeter amplitude in two-dimensional massless QED
Faculty of Mathematics and Natural Sciences, College of Sciences, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938, Warsaw, Poland
* e-mail: firstname.lastname@example.org
Accepted: 19 August 2014
Published online: 4 September 2014
The exact Bethe–Salpeter bound state amplitude is investigated in the space of relative energy for a fixed value of the relative position. By means of an approximate analysis it is shown to possess singularities in whenever one of the quarks reaches the energy threshold for the creation of a certain number of Schwinger bosons. These results are confirmed by plots of numerical results.
© SIF and Springer-Verlag Berlin Heidelberg, 2014