NONPERTURBATIVE BEHAVIOR IN THREE-DIMENSIONAL QED

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Abstract
Infrared singularities in QED3 can be avoided by including at least one massless source which couples to the photon. Once that is arranged it is possible to obtain nonzeromass solutions for the source Green functions in scalar and (doubled) spinor electrodynamics, by using the gauge technique. We find that the asymptotic results for the source spectral ρ functions are typically ρ(p)≃(p2−m2)−1−e2/cπ2 as p→m, and ρ(p)≃p−2 exp (c′e2/πp) as p→∞. The constants c and c′ are respectively related to the number of charged massless particles and their “spin” character.

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