Exact two-particle eigenstates in partially reduced QED

Abstract

We consider a reformulation of QED in which covariant Green functions are used to solve for the electromagnetic field in terms of the fermion fields. It is shown that exact few-fermion eigenstates of the resulting Hamiltonian can be obtained in the canonical equal-time formalism for the case where there are no free photons. These eigenstates lead to two- and three-body Dirac-like equations with electromagnetic interactions. Perturbative and some numerical solutions of the two-body equations are presented for positronium and muonium-like systems, for various strengths of the coupling.

33 pages, LaTex 2.09, 4 figures in EPS format

References in corpus (2)

• A variational calculation of particle-antiparticle bound states in the scalar Yukawa model
• Exact spinor-scalar bound states in a QFT with scalar interactions

Cited by in corpus (5)

• Variational Two Fermion Wave Equations in QED: Muonium Like Systems
• Confinement interaction in nonlinear generalizations of the Wick-Cutkosky model
• Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
• Large-j Expansion Method for Two-Body Dirac Equation
• Analysis of inter-quark interactions in classical chromodynamics