RELATIVISTIC 2-BODY SYSTEM IN (1-DIMENSIONAL QED .1. ON THE CIRCLE-S(1)(1))

From the coupled Maxwell-Dirac equations for two fermion fields psi1, psi2 we derive a covariant two-body equation for the composite field p hi(x1, x2) in configuration space which includes radiative self-energy effects. Both Coulomb gauge and covariant gauge have been used and th eir equivalence is proved. For the space S1 we solve the two-body equa tion with mutual interactions exactly and obtain the mass spectrum in the case of massless fermions. (C) 1994 Academic Press, Inc.