Ground States of the Yukawa models with Cutoffs
Functional Analysis
2009-12-31 v1 Mathematical Physics
math.MP
Abstract
Ground states of the so called Yukawa model is considered. The Yukawa model describes a Dirac field interacting with a Klein-Gordon field. By introducing both ultraviolet cutoffs and spatial cutoffs, the total Hamiltonian is defined as a self-adjoint operator on a boson-fermion Fock space. It is shown that the total Hamiltonian has a positive spectral gap for all values of coupling constants. In particular the existence of ground states is proven.
Keywords
Cite
@article{arxiv.0912.4951,
title = {Ground States of the Yukawa models with Cutoffs},
author = {Toshimitsu Takaesu},
journal= {arXiv preprint arXiv:0912.4951},
year = {2009}
}