dorsal/arxiv
View SchemaMistery of Real Scalar Klein-Gordon Field
| Authors | T. Fujita, S. Kanamaki, A. Kusaka, S. Oshima |
|---|---|
| Categories | |
| ArXiv ID | physics/0610268 |
| URL | https://arxiv.org/abs/physics/0610268 |
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.
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"abstract": "The mystery that the real scalar Klein-Gordon field has vanishing current\ndensities is resolved. The scalar field is shown to be a complex field due to\nthe condition of possessing a proper non-relativistic limit. Like the\nSchr\\\"odinger field, one component complex Klein-Gordon field corresponds to a\nboson with one flavor, and therefore there exists no physical real scalar\nfield. As a good example, we present the Schwinger model Hamiltonian which is\nnaturally described by the complex scalar field with one flavor. The\nnon-existence of the real scalar field indicates that the Higgs mechanism\nshould be reconsidered.",
"arxiv_id": "physics/0610268",
"authors": [
"T. Fujita",
"S. Kanamaki",
"A. Kusaka",
"S. Oshima"
],
"categories": [
"physics.gen-ph"
],
"title": "Mistery of Real Scalar Klein-Gordon Field",
"url": "https://arxiv.org/abs/physics/0610268"
},
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