Operator-theoretic infrared renormalization and construction of dressed 1-particle states

  title={Operator-theoretic infrared renormalization and construction of dressed 1-particle states},
  author={Thomas Chen},
We consider the infrared problem in a model of a freely propagating, nonrelativistic charged particle of mass 1 in interaction with the quantized electromagnetic field. The hamiltonian of the system is regularized by an infrared cutoff $\ssig\ll 1$ and an ultraviolet cutoff $\Lambda\sim 1$ in the interaction term, in units of the mass of the charged particle. Due to translation invariance, it suffices to study $\Hps$, the restriction of the hamiltonian to the fibre Hilbert space of the… 

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