Infrared Catastrophe for Nelson ’ s Model ∗ Masao
نویسنده
چکیده
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.
منابع مشابه
Infrared Catastrophe for Nelson’s Model
We study the infrared catastrophe for Nelson’s Hamiltonian, which has the external potential in a general class. We show that both, the divergence of the total number of soft photons and non-existence of any ground state, are due to the common reason under general conditions.
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