# Infrared Problem for the Nelson Model on Static Space-Times

@article{Grard2011InfraredPF, title={Infrared Problem for the Nelson Model on Static Space-Times}, author={Christian G{\'e}rard and Fumio Hiroshima and Annalisa Panati and Akito Suzuki}, journal={Communications in Mathematical Physics}, year={2011}, volume={308}, pages={543-566} }

We consider the Nelson model on some static space-times and investigate the problem of existence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We investigate the existence of a ground state of the Hamiltonian in the presence of the infrared problem, i.e. assuming that the boson mass m(x) tends to 0 at spatial infinity. We show that if…

## 17 Citations

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