Construction of solutions of the classical field equation for a massless Klein-Gordon field coupled to a static source
Mathematical Physics
2017-08-22 v1 Functional Analysis
math.MP
Abstract
In this paper, we consider a system of a massless Klein-Gordon field coupled to a static source. The total Hamiltonian is a self-adjoint operator on a boson Fock space. We consider annihilation operators in the Heisenberg picture and define a sesquilinear form. Under infrared regularity conditions, it is proven that the sesquilinear form is a solution of the classical field equation.
Keywords
Cite
@article{arxiv.1708.06167,
title = {Construction of solutions of the classical field equation for a massless Klein-Gordon field coupled to a static source},
author = {Toshimitsu Takaesu},
journal= {arXiv preprint arXiv:1708.06167},
year = {2017}
}