Infrared Catastrophe for Nelson's Model
arXiv:math-ph/0211051
Abstract
We mathematically study the infrared catastrophe for the Hamiltonian of Nelson's model when it has the external potential in a general class. For the model, we prove the pull-through formula on ground states in operator theory first. Based on this formula, we show both non-existence of any ground state and divergence of the total number of soft bosons.
22 pages. This manuscript is the final version and it appears in Publ. RIMS