One-particle (improper) States in Nelson’s Massless Model

Abstract.

In the one-particle sector of Nelson’s massless model, the one-particle states are constructed for an arbitrarily small infrared cutoff in the interaction term of the Hamiltonian of the system. The performed method is a constructive one which exploits only regular perturbation theory, by a suitable iteration scheme. The disappearance of one-particle states is showed in the limit of no infrared regularization. Constructive features, as regularity in some parameters, are also inquired.

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Correspondence to Alessandro Pizzo.

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Communicated by Gian Michele Graf

submitted 29/04/02, accepted: 11/10/02

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Pizzo, A. One-particle (improper) States in Nelson’s Massless Model . Ann. Henri Poincaré 4, 439–486 (2003). https://doi.org/10.1007/s00023-003-0136-6

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Keywords

  • Perturbation Theory
  • Iteration Scheme
  • Regular Perturbation
  • Constructive Feature
  • Infrared Cutoff