Abstract

AbstractThe dressed state formalism has been studied to define infrared finite S-matrices. In the formalism, asymptotic states of charged particles are dressed by clouds of photons in QED. We find a gauge invariant condition for dressed states when the asymptotic QED-interaction are incorporated. The Faddeev-Kulish dressed state (without deformations by null vectors) can be obtained just by requiring the gauge invariant condition of asymptotic states. In other words, the Gauss law naturally leads to proper asymptotic states for the infrared finite S-matrix. We also discuss the relation between the dressed state formalism and the asymptotic symmetry for QED.

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