Abstract
We consider a scaling limit for the Derezi\'nski-G\'erard model. We derive an effective potential by taking a scaling limit for the total Hamiltonian of the Derezi\'nski-G\'erard model. Our method to derive an effective potential is independent of whether or not the quantum field has a nonnegative mass. As an application of our theory developed in the present paper, we derive an effective potential of the Nelson model.
Citation
Atsushi OHKUBO. "Scaling limit for the Derezi\'nski-G\'erard model." Hokkaido Math. J. 39 (3) 261 - 290, October 2010. https://doi.org/10.14492/hokmj/1288357970
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