# On a direct description of pseudorelativistic Nelson Hamiltonians

@article{Schmidt2019OnAD, title={On a direct description of pseudorelativistic Nelson Hamiltonians}, author={Julian Schmidt}, journal={Journal of Mathematical Physics}, year={2019} }

Abstract interior-boundary conditions (IBC's) allow for the direct description of the domain and the action of Hamiltonians for a certain class of ultraviolet-divergent models in Quantum Field Theory. The method was recently applied to models where nonrelativistic scalar particles are linearly coupled to a quantised field, the best known of which is the Nelson model. Since this approach avoids the use of ultraviolet-cutoffs, there is no need for a renormalisation procedure. Here, we extend the…

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