Scaling limit for the Derezi\'nski-G\'erard model.
Hokkaido Mathematical Journal, 39 (2010) pp.261-290
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.
|Uncontrolled Keywords||Fock space, scaling limit, effective potential, the Derezi\'nski-G\'erard model, the Nelson model, Weyl relations|