| Infrared Catastrophe for Nelson's Model ---Non-Existence of Ground State and Soft-Boson Divergence-- (2006) | |||||||||||||
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. | |||||||||||||
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