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.
Publié le : 2010-10-15
Classification:
Fock space,
scaling limit,
effective potential,
the Derezi\'nski-G\'erard model,
the Nelson model,
Weyl relations,
81T10
@article{1288357970,
author = {OHKUBO, Atsushi},
title = {Scaling limit for the Derezi\'nski-G\'erard model},
journal = {Hokkaido Math. J.},
volume = {39},
number = {3},
year = {2010},
pages = { 261-290},
language = {en},
url = {http://dml.mathdoc.fr/item/1288357970}
}
OHKUBO, Atsushi. Scaling limit for the Derezi\'nski-G\'erard model. Hokkaido Math. J., Tome 39 (2010) no. 3, pp. 261-290. http://gdmltest.u-ga.fr/item/1288357970/