dorsal/arxiv
View SchemaA relativistically covariant version of Bohm's quantum field theory for the scalar field
| Authors | George Horton, Chris Dewdney |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407089 |
| URL | https://arxiv.org/abs/quant-ph/0407089 |
| DOI | 10.1088/0305-4470/37/49/011 |
| Journal | J.Phys. A37 (2004) 11935-11944 |
Abstract
We give a relativistically covariant, wave-functional formulation of Bohm's quantum field theory for the scalar field based on a general foliation of space-time by space-like hypersurfaces. The wave functional, which guides the evolution of the field, is space-time-foliation independent but the field itself is not. Hence, in order to have a theory in which the field may be considered a beable, some extra rule must be given to determine the foliation. We suggest one such rule based on the eigen vectors of the energy-momentum tensor of the field itself.
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"abstract": "We give a relativistically covariant, wave-functional formulation of Bohm\u0027s\nquantum field theory for the scalar field based on a general foliation of\nspace-time by space-like hypersurfaces. The wave functional, which guides the\nevolution of the field, is space-time-foliation independent but the field\nitself is not. Hence, in order to have a theory in which the field may be\nconsidered a beable, some extra rule must be given to determine the foliation.\nWe suggest one such rule based on the eigen vectors of the energy-momentum\ntensor of the field itself.",
"arxiv_id": "quant-ph/0407089",
"authors": [
"George Horton",
"Chris Dewdney"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/49/011",
"journal_ref": "J.Phys. A37 (2004) 11935-11944",
"title": "A relativistically covariant version of Bohm\u0027s quantum field theory for the scalar field",
"url": "https://arxiv.org/abs/quant-ph/0407089"
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