Mistery of Real Scalar Klein-Gordon Field
General Physics
2007-05-23 v1
Abstract
The mystery that the real scalar Klein-Gordon field has vanishing current densities is resolved. The scalar field is shown to be a complex field due to the condition of possessing a proper non-relativistic limit. Like the Schr\"odinger field, one component complex Klein-Gordon field corresponds to a boson with one flavor, and therefore there exists no physical real scalar field. As a good example, we present the Schwinger model Hamiltonian which is naturally described by the complex scalar field with one flavor. The non-existence of the real scalar field indicates that the Higgs mechanism should be reconsidered.
Keywords
Cite
@article{arxiv.physics/0610268,
title = {Mistery of Real Scalar Klein-Gordon Field},
author = {T. Fujita and S. Kanamaki and A. Kusaka and S. Oshima},
journal= {arXiv preprint arXiv:physics/0610268},
year = {2007}
}
Comments
4 pages, no figure