ASYMPTOTIC INFRARED FRACTAL STRUCTURE OF THE PROPAGATOR FOR A CHARGED FERMION

@article{Gulzari2006ASYMPTOTICIF,
  title={ASYMPTOTIC INFRARED FRACTAL STRUCTURE OF THE PROPAGATOR FOR A CHARGED FERMION},
  author={S. Gulzari and John D. Swain and Allan Widom},
  journal={Modern Physics Letters A},
  year={2006},
  volume={21},
  pages={2861-2871}
}
It is well known that the long-range nature of the Coulomb interaction makes the definition of asymptotic "in" and "out" states of charged particles problematic in quantum field theory. In particular, the notion of a simple particle pole in the vacuum charged particle propagator is untenable and should be replaced by a more complicated branch cut structure describing an electron interacting with a possibly infinite number of soft photons. Previous work suggests a Dirac propagator raised to a… 

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