George Horton and Chris Dewdney 2004 J. Phys. A: Math. Gen. 37 11935 doi:10.1088/0305-4470/37/49/011
A relativistically covariant version of Bohm's quantum field theory for the scalar field
George Horton and Chris Dewdney
Show affiliationsWe give a relativistically covariant, wave-functional formulation of Bohm's quantum field theory for the scalar field based on a general foliation of spacetime by space-like hypersurfaces. The wave functional, which guides the evolution of the field, is spacetime-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 eigenvectors of the energy–momentum tensor of the field itself.
- PACS
- MSC
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81T20 Quantum field theory on curved space backgrounds
81T70 Quantization in field theory; cohomological methods (See also 58D29)
- Subjects
- Dates
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Issue 49 (10 December 2004)
Received 19 May 2004, in final form 22 October 2004
Published 24 November 2004
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A relativistically covariant version of Bohm's quantum field theory for the scalar field
George Horton and Chris Dewdney 2004 J. Phys. A: Math. Gen. 37 11935
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