2006/10/30 by Tomohiro Fujita, Fujita, T., S. Kanamaki +5
Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Particle Accelerators and Free-Electron Lasers #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.physics/0610268
openalex publication_date 2006/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Schrödinger 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.