# The Nelson Model on Static Spacetimes

@inproceedings{Kruse2021TheNM, title={The Nelson Model on Static Spacetimes}, author={Jan Philipp Kruse and Jonas Lampart}, year={2021} }

The Nelson model describes the interaction of nonrelativistic quantum particles with a relativistic quantum field of scalar bosons. Nelson rigorously demonstrated in 1964 the existence of a well-defined self-adjoint Nelson Hamiltonian by renormalisation. Recently, a Fock space description of the renormalised Nelson Hamiltonian and its domain were found based on a novel approach to defining Hamiltonians in quantum field theories. This novel approach involves an interior boundary condition (IBC…

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