Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs
Mathematical Physics
2015-05-13 v2 Functional Analysis
math.MP
Abstract
In this paper the Hamiltonian of quantum electrodynamics with spatial cutoffs is investigated. We define a scaled total Hamiltonian and consider its asymptotic behavior. In the main theorem, it is shown that the scaled total Hamiltonian converges to a self-adjoint operator in the strong resolvent sense, and effective potentials are derived.
Keywords
Cite
@article{arxiv.0908.2080,
title = {Scaling Limit of Quantum Electrodynamics with Spatial Cutoffs},
author = {Toshimitsu Takaesu},
journal= {arXiv preprint arXiv:0908.2080},
year = {2015}
}