Annales Henri Poincaré

, Volume 4, Issue 3, pp 439–486

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

Authors

    • FB MathematikJohannes Gutenberg Universität
Open AccessOriginal paper

DOI: 10.1007/s00023-003-0136-6

Cite this article as:
Pizzo, A. Ann. Henri Poincaré (2003) 4: 439. doi:10.1007/s00023-003-0136-6

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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© Birkhäuser-Verlag 2003