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.

arXiv commentREVTEX, 9 pages, 3 figures

References in corpus (21)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Solving Bethe-Salpeter equation in Minkowski space
• Solving the Bethe-Salpeter Equation for Scalar Theories in Minkowski Space
• Solving the Bethe-Salpeter equation for bound states of scalar theories in Minkowski space
• Solving Bethe-Salpeter equation for two fermions in Minkowski space
• Semirelativistic Treatment of Bound States
• Electromagnetic form factor via Bethe-Salpeter amplitude in Minkowski space
• Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors
• Two-Fermion Bound States within the Bethe-Salpeter Approach
• On The Ladder Bethe-Salpeter Equation
• Exact Solutions of Bethe-Salpeter Equations with Instantaneous Interactions
• 3D reduction of the N-body Bethe-Salpeter equation
• Solving the Bethe-Salpeter Equation in Euclidean Space
• Schroedinger models for solutions of the Bethe-Salpeter equation in Minkowski space
• Four-point Green functions in the Schwinger Model
• Bethe-Salpeter equation in Minkowski space with cross-ladder kernel
• Schwinger Model Green functions with topological effects
• Electromagnetic form factor via Minkowski and Euclidean Bethe-Salpeter amplitudes
• Instanton modifications of the bound state singularity in the Schwinger Model
• Relative variables of the exact fermion-antifermion bound state wave-function in the Schwinger Model
• Retardation Terms in The One-Gluon Exchange Potential

Cited by in corpus (1)

• Lorentz contraction of the equal-time Bethe-Salpeter amplitude in two-dimensional massless quantum electrodynamics