One-particle (improper) States in Nelson’s Massless Model
- Cite this article as:
- Pizzo, A. Ann. Henri Poincaré (2003) 4: 439. doi:10.1007/s00023-003-0136-6
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.