Infrared Catastrophe for Nelson's Model
Abstract
Description
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
22 pages. This manuscript is the final version and it appears in Publ. RIMS