Infrared Catastrophe for Nelson's Model
Mathematical Physics
2007-05-23 v6 Functional Analysis
math.MP
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.
Cite
@article{arxiv.math-ph/0211051,
title = {Infrared Catastrophe for Nelson's Model},
author = {Masao Hirokawa},
journal= {arXiv preprint arXiv:math-ph/0211051},
year = {2007}
}
Comments
22 pages. This manuscript is the final version and it appears in Publ. RIMS