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We evaluate the propagator of scalar and spinor in three dimensional quantumelectrodynamics with the use of Ward-Identity for soft-photon emissionvertex.We work well in position space to treat infrared divergences in ourmodel. Exponentiation of one-photon matrix element yields a full propagator inposition space.It has a simple form as free propagator multiplied by quantumcorrection.And it shows a new type of mass singularity.But this is not anintegrable function so that analysis in momentum space is not easy.Term by termintegral converges and they have a logarithmic singularity associated withrenormalized mass in perturbation theory.Renormalization constant vanishes forweak coupling,which suggests confinement of charged particle.There exsists acritical coupling constant above which the vacuum expectation value of paircondensation is finite.Comment: 18 pages, REVTeX4,abstract modefied and section three change

Low-energy-theorem approach to one-particle singularity in QED2+1

Low-energy-theorem approach to one-particle singularity in QED₂₊₁